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Finding the Third Proportional to 32,129,023.50 and 70,635,325.50

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Solution

The third proportional to 32,129,023.50 and 70,635,325.50 is: 155,291,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129,023.50 : 70,635,325.50 = 70,635,325.50 : x
  2. Step 2: Convert to fraction form
    32,129,023.50/70,635,325.50 = 70,635,325.50/x
  3. Step 3: Cross multiply
    32,129,023.50x = 70,635,325.50 × 70,635,325.50
  4. Step 4: Simplify right side
    32,129,023.50x = 4,989,349,208,490,950
  5. Step 5: Solve for x
    x = 4,989,349,208,490,950/32,129,023.50
  6. Step 6: Final answer
    x = 155,291,031.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.