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Finding the Third Proportional to 662,013,432 and 1,404,722,304

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Solution

The third proportional to 662,013,432 and 1,404,722,304 is: 2,980,671,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,013,432 : 1,404,722,304 = 1,404,722,304 : x
  2. Step 2: Convert to fraction form
    662,013,432/1,404,722,304 = 1,404,722,304/x
  3. Step 3: Cross multiply
    662,013,432x = 1,404,722,304 × 1,404,722,304
  4. Step 4: Simplify right side
    662,013,432x = 1,973,244,751,355,068,416
  5. Step 5: Solve for x
    x = 1,973,244,751,355,068,416/662,013,432
  6. Step 6: Final answer
    x = 2,980,671,774.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.