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Finding the Third Proportional to 461,125,669.50 and 1,004,126,665.50

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Solution

The third proportional to 461,125,669.50 and 1,004,126,665.50 is: 2,186,541,385.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,125,669.50 : 1,004,126,665.50 = 1,004,126,665.50 : x
  2. Step 2: Convert to fraction form
    461,125,669.50/1,004,126,665.50 = 1,004,126,665.50/x
  3. Step 3: Cross multiply
    461,125,669.50x = 1,004,126,665.50 × 1,004,126,665.50
  4. Step 4: Simplify right side
    461,125,669.50x = 1,008,270,360,368,148,864
  5. Step 5: Solve for x
    x = 1,008,270,360,368,148,864/461,125,669.50
  6. Step 6: Final answer
    x = 2,186,541,385.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.