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Finding the Third Proportional to 691,645,428 and 1,482,138,882

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Solution

The third proportional to 691,645,428 and 1,482,138,882 is: 3,176,100,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,645,428 : 1,482,138,882 = 1,482,138,882 : x
  2. Step 2: Convert to fraction form
    691,645,428/1,482,138,882 = 1,482,138,882/x
  3. Step 3: Cross multiply
    691,645,428x = 1,482,138,882 × 1,482,138,882
  4. Step 4: Simplify right side
    691,645,428x = 2,196,735,665,536,209,920
  5. Step 5: Solve for x
    x = 2,196,735,665,536,209,920/691,645,428
  6. Step 6: Final answer
    x = 3,176,100,898.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.