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Finding the Third Proportional to 32,953,989 and 71,766,438

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Solution

The third proportional to 32,953,989 and 71,766,438 is: 156,291,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953,989 : 71,766,438 = 71,766,438 : x
  2. Step 2: Convert to fraction form
    32,953,989/71,766,438 = 71,766,438/x
  3. Step 3: Cross multiply
    32,953,989x = 71,766,438 × 71,766,438
  4. Step 4: Simplify right side
    32,953,989x = 5,150,421,623,207,844
  5. Step 5: Solve for x
    x = 5,150,421,623,207,844/32,953,989
  6. Step 6: Final answer
    x = 156,291,295.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.