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Finding the Third Proportional to 3,159,126,308,007 and 6,793,690,262,122.50

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Solution

The third proportional to 3,159,126,308,007 and 6,793,690,262,122.50 is: 14,609,807,547,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,126,308,007 : 6,793,690,262,122.50 = 6,793,690,262,122.50 : x
  2. Step 2: Convert to fraction form
    3,159,126,308,007/6,793,690,262,122.50 = 6,793,690,262,122.50/x
  3. Step 3: Cross multiply
    3,159,126,308,007x = 6,793,690,262,122.50 × 6,793,690,262,122.50
  4. Step 4: Simplify right side
    3,159,126,308,007x = 46,154,227,377,658,079,448,399,872
  5. Step 5: Solve for x
    x = 46,154,227,377,658,079,448,399,872/3,159,126,308,007
  6. Step 6: Final answer
    x = 14,609,807,547,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.