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Finding the Third Proportional to 4,584,517,712,454 and 9,813,051,217,624

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Solution

The third proportional to 4,584,517,712,454 and 9,813,051,217,624 is: 21,004,602,935,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584,517,712,454 : 9,813,051,217,624 = 9,813,051,217,624 : x
  2. Step 2: Convert to fraction form
    4,584,517,712,454/9,813,051,217,624 = 9,813,051,217,624/x
  3. Step 3: Cross multiply
    4,584,517,712,454x = 9,813,051,217,624 × 9,813,051,217,624
  4. Step 4: Simplify right side
    4,584,517,712,454x = 96,295,974,199,711,861,315,731,456
  5. Step 5: Solve for x
    x = 96,295,974,199,711,861,315,731,456/4,584,517,712,454
  6. Step 6: Final answer
    x = 21,004,602,935,248.90

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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.