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Finding the Third Proportional to 29,864,260,900 and 63,988,250,802

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Solution

The third proportional to 29,864,260,900 and 63,988,250,802 is: 137,103,551,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864,260,900 : 63,988,250,802 = 63,988,250,802 : x
  2. Step 2: Convert to fraction form
    29,864,260,900/63,988,250,802 = 63,988,250,802/x
  3. Step 3: Cross multiply
    29,864,260,900x = 63,988,250,802 × 63,988,250,802
  4. Step 4: Simplify right side
    29,864,260,900x = 4,094,496,240,699,653,488,640
  5. Step 5: Solve for x
    x = 4,094,496,240,699,653,488,640/29,864,260,900
  6. Step 6: Final answer
    x = 137,103,551,780.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.