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Finding the Third Proportional to 970,729,560 and 1,373,552,580

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Solution

The third proportional to 970,729,560 and 1,373,552,580 is: 1,943,534,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,729,560 : 1,373,552,580 = 1,373,552,580 : x
  2. Step 2: Convert to fraction form
    970,729,560/1,373,552,580 = 1,373,552,580/x
  3. Step 3: Cross multiply
    970,729,560x = 1,373,552,580 × 1,373,552,580
  4. Step 4: Simplify right side
    970,729,560x = 1,886,646,690,024,656,384
  5. Step 5: Solve for x
    x = 1,886,646,690,024,656,384/970,729,560
  6. Step 6: Final answer
    x = 1,943,534,809.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.