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Finding the Third Proportional to 714,897,002 and 1,542,709,300

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Solution

The third proportional to 714,897,002 and 1,542,709,300 is: 3,329,083,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,897,002 : 1,542,709,300 = 1,542,709,300 : x
  2. Step 2: Convert to fraction form
    714,897,002/1,542,709,300 = 1,542,709,300/x
  3. Step 3: Cross multiply
    714,897,002x = 1,542,709,300 × 1,542,709,300
  4. Step 4: Simplify right side
    714,897,002x = 2,379,951,984,306,489,856
  5. Step 5: Solve for x
    x = 2,379,951,984,306,489,856/714,897,002
  6. Step 6: Final answer
    x = 3,329,083,738.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.