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Finding the Third Proportional to 10,624,819,625 and 15,878,670,324

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Solution

The third proportional to 10,624,819,625 and 15,878,670,324 is: 23,730,489,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,819,625 : 15,878,670,324 = 15,878,670,324 : x
  2. Step 2: Convert to fraction form
    10,624,819,625/15,878,670,324 = 15,878,670,324/x
  3. Step 3: Cross multiply
    10,624,819,625x = 15,878,670,324 × 15,878,670,324
  4. Step 4: Simplify right side
    10,624,819,625x = 252,132,171,258,278,281,216
  5. Step 5: Solve for x
    x = 252,132,171,258,278,281,216/10,624,819,625
  6. Step 6: Final answer
    x = 23,730,489,566.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.