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Finding the Third Proportional to 30,653,700.75 and 51,087,457.13

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Solution

The third proportional to 30,653,700.75 and 51,087,457.13 is: 85,142,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,653,700.75 : 51,087,457.13 = 51,087,457.13 : x
  2. Step 2: Convert to fraction form
    30,653,700.75/51,087,457.13 = 51,087,457.13/x
  3. Step 3: Cross multiply
    30,653,700.75x = 51,087,457.13 × 51,087,457.13
  4. Step 4: Simplify right side
    30,653,700.75x = 2,609,928,275,498,713.50
  5. Step 5: Solve for x
    x = 2,609,928,275,498,713.50/30,653,700.75
  6. Step 6: Final answer
    x = 85,142,355.14

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.