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Finding the Third Proportional to 32,381,871 and 70,144,581

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Solution

The third proportional to 32,381,871 and 70,144,581 is: 151,944,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,381,871 : 70,144,581 = 70,144,581 : x
  2. Step 2: Convert to fraction form
    32,381,871/70,144,581 = 70,144,581/x
  3. Step 3: Cross multiply
    32,381,871x = 70,144,581 × 70,144,581
  4. Step 4: Simplify right side
    32,381,871x = 4,920,262,243,665,561
  5. Step 5: Solve for x
    x = 4,920,262,243,665,561/32,381,871
  6. Step 6: Final answer
    x = 151,944,964.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.