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Finding the Third Proportional to 1,527,974,497 and 3,273,773,492

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Solution

The third proportional to 1,527,974,497 and 3,273,773,492 is: 7,014,248,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,974,497 : 3,273,773,492 = 3,273,773,492 : x
  2. Step 2: Convert to fraction form
    1,527,974,497/3,273,773,492 = 3,273,773,492/x
  3. Step 3: Cross multiply
    1,527,974,497x = 3,273,773,492 × 3,273,773,492
  4. Step 4: Simplify right side
    1,527,974,497x = 10,717,592,876,921,874,432
  5. Step 5: Solve for x
    x = 10,717,592,876,921,874,432/1,527,974,497
  6. Step 6: Final answer
    x = 7,014,248,534.88

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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.