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Finding the Third Proportional to 42,838,344 and 65,261,520

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Solution

The third proportional to 42,838,344 and 65,261,520 is: 99,421,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838,344 : 65,261,520 = 65,261,520 : x
  2. Step 2: Convert to fraction form
    42,838,344/65,261,520 = 65,261,520/x
  3. Step 3: Cross multiply
    42,838,344x = 65,261,520 × 65,261,520
  4. Step 4: Simplify right side
    42,838,344x = 4,259,065,992,710,400
  5. Step 5: Solve for x
    x = 4,259,065,992,710,400/42,838,344
  6. Step 6: Final answer
    x = 99,421,816.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.