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Finding the Third Proportional to 2,517,245,428 and 3,948,815,292

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Solution

The third proportional to 2,517,245,428 and 3,948,815,292 is: 6,194,525,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,245,428 : 3,948,815,292 = 3,948,815,292 : x
  2. Step 2: Convert to fraction form
    2,517,245,428/3,948,815,292 = 3,948,815,292/x
  3. Step 3: Cross multiply
    2,517,245,428x = 3,948,815,292 × 3,948,815,292
  4. Step 4: Simplify right side
    2,517,245,428x = 15,593,142,210,333,044,736
  5. Step 5: Solve for x
    x = 15,593,142,210,333,044,736/2,517,245,428
  6. Step 6: Final answer
    x = 6,194,525,983.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.