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Finding the Third Proportional to 32,595,649.75 and 69,077,461.50

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Solution

The third proportional to 32,595,649.75 and 69,077,461.50 is: 146,390,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,595,649.75 : 69,077,461.50 = 69,077,461.50 : x
  2. Step 2: Convert to fraction form
    32,595,649.75/69,077,461.50 = 69,077,461.50/x
  3. Step 3: Cross multiply
    32,595,649.75x = 69,077,461.50 × 69,077,461.50
  4. Step 4: Simplify right side
    32,595,649.75x = 4,771,695,687,283,982
  5. Step 5: Solve for x
    x = 4,771,695,687,283,982/32,595,649.75
  6. Step 6: Final answer
    x = 146,390,568.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.