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Finding the Third Proportional to 32,716,467 and 68,817,429

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Solution

The third proportional to 32,716,467 and 68,817,429 is: 144,753,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716,467 : 68,817,429 = 68,817,429 : x
  2. Step 2: Convert to fraction form
    32,716,467/68,817,429 = 68,817,429/x
  3. Step 3: Cross multiply
    32,716,467x = 68,817,429 × 68,817,429
  4. Step 4: Simplify right side
    32,716,467x = 4,735,838,534,170,041
  5. Step 5: Solve for x
    x = 4,735,838,534,170,041/32,716,467
  6. Step 6: Final answer
    x = 144,753,971.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.