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Finding the Third Proportional to 3,215,319,570 and 6,964,925,748

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Solution

The third proportional to 3,215,319,570 and 6,964,925,748 is: 15,087,206,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,319,570 : 6,964,925,748 = 6,964,925,748 : x
  2. Step 2: Convert to fraction form
    3,215,319,570/6,964,925,748 = 6,964,925,748/x
  3. Step 3: Cross multiply
    3,215,319,570x = 6,964,925,748 × 6,964,925,748
  4. Step 4: Simplify right side
    3,215,319,570x = 48,510,190,675,153,362,944
  5. Step 5: Solve for x
    x = 48,510,190,675,153,362,944/3,215,319,570
  6. Step 6: Final answer
    x = 15,087,206,611.68

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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.