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Finding the Third Proportional to 32,552,523 and 70,216,178.91

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Solution

The third proportional to 32,552,523 and 70,216,178.91 is: 151,457,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552,523 : 70,216,178.91 = 70,216,178.91 : x
  2. Step 2: Convert to fraction form
    32,552,523/70,216,178.91 = 70,216,178.91/x
  3. Step 3: Cross multiply
    32,552,523x = 70,216,178.91 × 70,216,178.91
  4. Step 4: Simplify right side
    32,552,523x = 4,930,311,780,194,507
  5. Step 5: Solve for x
    x = 4,930,311,780,194,507/32,552,523
  6. Step 6: Final answer
    x = 151,457,132.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.