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Finding the Third Proportional to 32,522,970 and 64,223,412

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Solution

The third proportional to 32,522,970 and 64,223,412 is: 126,822,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522,970 : 64,223,412 = 64,223,412 : x
  2. Step 2: Convert to fraction form
    32,522,970/64,223,412 = 64,223,412/x
  3. Step 3: Cross multiply
    32,522,970x = 64,223,412 × 64,223,412
  4. Step 4: Simplify right side
    32,522,970x = 4,124,646,648,921,744
  5. Step 5: Solve for x
    x = 4,124,646,648,921,744/32,522,970
  6. Step 6: Final answer
    x = 126,822,570.29

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.