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Finding the Third Proportional to 516,047,888,368 and 807,755,889,864

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Solution

The third proportional to 516,047,888,368 and 807,755,889,864 is: 1,264,358,584,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,047,888,368 : 807,755,889,864 = 807,755,889,864 : x
  2. Step 2: Convert to fraction form
    516,047,888,368/807,755,889,864 = 807,755,889,864/x
  3. Step 3: Cross multiply
    516,047,888,368x = 807,755,889,864 × 807,755,889,864
  4. Step 4: Simplify right side
    516,047,888,368x = 652,469,577,609,982,444,044,288
  5. Step 5: Solve for x
    x = 652,469,577,609,982,444,044,288/516,047,888,368
  6. Step 6: Final answer
    x = 1,264,358,584,381.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.