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Finding the Third Proportional to 65,432,825 and 137,634,670

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Solution

The third proportional to 65,432,825 and 137,634,670 is: 289,507,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,432,825 : 137,634,670 = 137,634,670 : x
  2. Step 2: Convert to fraction form
    65,432,825/137,634,670 = 137,634,670/x
  3. Step 3: Cross multiply
    65,432,825x = 137,634,670 × 137,634,670
  4. Step 4: Simplify right side
    65,432,825x = 18,943,302,386,008,900
  5. Step 5: Solve for x
    x = 18,943,302,386,008,900/65,432,825
  6. Step 6: Final answer
    x = 289,507,634.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.