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Finding the Third Proportional to 3,202,832,692 and 6,897,108,584

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Solution

The third proportional to 3,202,832,692 and 6,897,108,584 is: 14,852,510,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,832,692 : 6,897,108,584 = 6,897,108,584 : x
  2. Step 2: Convert to fraction form
    3,202,832,692/6,897,108,584 = 6,897,108,584/x
  3. Step 3: Cross multiply
    3,202,832,692x = 6,897,108,584 × 6,897,108,584
  4. Step 4: Simplify right side
    3,202,832,692x = 47,570,106,819,486,482,432
  5. Step 5: Solve for x
    x = 47,570,106,819,486,482,432/3,202,832,692
  6. Step 6: Final answer
    x = 14,852,510,697.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.