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Finding the Third Proportional to 5,547,904,921,767 and 8,487,673,332,270

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Solution

The third proportional to 5,547,904,921,767 and 8,487,673,332,270 is: 12,985,189,834,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547,904,921,767 : 8,487,673,332,270 = 8,487,673,332,270 : x
  2. Step 2: Convert to fraction form
    5,547,904,921,767/8,487,673,332,270 = 8,487,673,332,270/x
  3. Step 3: Cross multiply
    5,547,904,921,767x = 8,487,673,332,270 × 8,487,673,332,270
  4. Step 4: Simplify right side
    5,547,904,921,767x = 72,040,598,595,327,327,813,500,928
  5. Step 5: Solve for x
    x = 72,040,598,595,327,327,813,500,928/5,547,904,921,767
  6. Step 6: Final answer
    x = 12,985,189,834,937.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.