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Finding the Third Proportional to 29,864,260,896 and 63,988,250,793

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Solution

The third proportional to 29,864,260,896 and 63,988,250,793 is: 137,103,551,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864,260,896 : 63,988,250,793 = 63,988,250,793 : x
  2. Step 2: Convert to fraction form
    29,864,260,896/63,988,250,793 = 63,988,250,793/x
  3. Step 3: Cross multiply
    29,864,260,896x = 63,988,250,793 × 63,988,250,793
  4. Step 4: Simplify right side
    29,864,260,896x = 4,094,496,239,547,865,104,384
  5. Step 5: Solve for x
    x = 4,094,496,239,547,865,104,384/29,864,260,896
  6. Step 6: Final answer
    x = 137,103,551,760.64

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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.