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Finding the Third Proportional to 32,315,416 and 70,711,664

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Solution

The third proportional to 32,315,416 and 70,711,664 is: 154,729,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315,416 : 70,711,664 = 70,711,664 : x
  2. Step 2: Convert to fraction form
    32,315,416/70,711,664 = 70,711,664/x
  3. Step 3: Cross multiply
    32,315,416x = 70,711,664 × 70,711,664
  4. Step 4: Simplify right side
    32,315,416x = 5,000,139,425,648,896
  5. Step 5: Solve for x
    x = 5,000,139,425,648,896/32,315,416
  6. Step 6: Final answer
    x = 154,729,229.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.