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Finding the Third Proportional to 767,366,892 and 1,187,720,010

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Solution

The third proportional to 767,366,892 and 1,187,720,010 is: 1,838,336,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,366,892 : 1,187,720,010 = 1,187,720,010 : x
  2. Step 2: Convert to fraction form
    767,366,892/1,187,720,010 = 1,187,720,010/x
  3. Step 3: Cross multiply
    767,366,892x = 1,187,720,010 × 1,187,720,010
  4. Step 4: Simplify right side
    767,366,892x = 1,410,678,822,154,400,000
  5. Step 5: Solve for x
    x = 1,410,678,822,154,400,000/767,366,892
  6. Step 6: Final answer
    x = 1,838,336,833.22

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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.