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Finding the Third Proportional to 41,644,496,159 and 63,442,509,281

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Solution

The third proportional to 41,644,496,159 and 63,442,509,281 is: 96,650,274,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,159 : 63,442,509,281 = 63,442,509,281 : x
  2. Step 2: Convert to fraction form
    41,644,496,159/63,442,509,281 = 63,442,509,281/x
  3. Step 3: Cross multiply
    41,644,496,159x = 63,442,509,281 × 63,442,509,281
  4. Step 4: Simplify right side
    41,644,496,159x = 4,024,951,983,869,771,382,784
  5. Step 5: Solve for x
    x = 4,024,951,983,869,771,382,784/41,644,496,159
  6. Step 6: Final answer
    x = 96,650,274,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.