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Finding the Third Proportional to 767,366,894 and 1,187,720,013

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Solution

The third proportional to 767,366,894 and 1,187,720,013 is: 1,838,336,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,366,894 : 1,187,720,013 = 1,187,720,013 : x
  2. Step 2: Convert to fraction form
    767,366,894/1,187,720,013 = 1,187,720,013/x
  3. Step 3: Cross multiply
    767,366,894x = 1,187,720,013 × 1,187,720,013
  4. Step 4: Simplify right side
    767,366,894x = 1,410,678,829,280,720,128
  5. Step 5: Solve for x
    x = 1,410,678,829,280,720,128/767,366,894
  6. Step 6: Final answer
    x = 1,838,336,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.