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Finding the Third Proportional to 42,052,133.81 and 61,481,689.88

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Solution

The third proportional to 42,052,133.81 and 61,481,689.88 is: 89,888,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052,133.81 : 61,481,689.88 = 61,481,689.88 : x
  2. Step 2: Convert to fraction form
    42,052,133.81/61,481,689.88 = 61,481,689.88/x
  3. Step 3: Cross multiply
    42,052,133.81x = 61,481,689.88 × 61,481,689.88
  4. Step 4: Simplify right side
    42,052,133.81x = 3,779,998,189,885,677.50
  5. Step 5: Solve for x
    x = 3,779,998,189,885,677.50/42,052,133.81
  6. Step 6: Final answer
    x = 89,888,380.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.