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Finding the Third Proportional to 3,215,319,513 and 6,964,925,624

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Solution

The third proportional to 3,215,319,513 and 6,964,925,624 is: 15,087,206,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,513 : 6,964,925,624 = 6,964,925,624 : x
  2. Step 2: Convert to fraction form
    3,215,319,513/6,964,925,624 = 6,964,925,624/x
  3. Step 3: Cross multiply
    3,215,319,513x = 6,964,925,624 × 6,964,925,624
  4. Step 4: Simplify right side
    3,215,319,513x = 48,510,188,947,851,788,288
  5. Step 5: Solve for x
    x = 48,510,188,947,851,788,288/3,215,319,513
  6. Step 6: Final answer
    x = 15,087,206,341.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.