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Finding the Third Proportional to 350,471,370 and 747,851,520

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Solution

The third proportional to 350,471,370 and 747,851,520 is: 1,595,799,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471,370 : 747,851,520 = 747,851,520 : x
  2. Step 2: Convert to fraction form
    350,471,370/747,851,520 = 747,851,520/x
  3. Step 3: Cross multiply
    350,471,370x = 747,851,520 × 747,851,520
  4. Step 4: Simplify right side
    350,471,370x = 559,281,895,966,310,400
  5. Step 5: Solve for x
    x = 559,281,895,966,310,400/350,471,370
  6. Step 6: Final answer
    x = 1,595,799,097.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.