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Finding the Third Proportional to 29,102,368 and 45,652,966

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Solution

The third proportional to 29,102,368 and 45,652,966 is: 71,615,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102,368 : 45,652,966 = 45,652,966 : x
  2. Step 2: Convert to fraction form
    29,102,368/45,652,966 = 45,652,966/x
  3. Step 3: Cross multiply
    29,102,368x = 45,652,966 × 45,652,966
  4. Step 4: Simplify right side
    29,102,368x = 2,084,193,304,597,156
  5. Step 5: Solve for x
    x = 2,084,193,304,597,156/29,102,368
  6. Step 6: Final answer
    x = 71,615,935.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.