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Finding the Third Proportional to 1,952,746,754 and 4,278,560,712

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Solution

The third proportional to 1,952,746,754 and 4,278,560,712 is: 9,374,529,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,746,754 : 4,278,560,712 = 4,278,560,712 : x
  2. Step 2: Convert to fraction form
    1,952,746,754/4,278,560,712 = 4,278,560,712/x
  3. Step 3: Cross multiply
    1,952,746,754x = 4,278,560,712 × 4,278,560,712
  4. Step 4: Simplify right side
    1,952,746,754x = 18,306,081,766,269,947,904
  5. Step 5: Solve for x
    x = 18,306,081,766,269,947,904/1,952,746,754
  6. Step 6: Final answer
    x = 9,374,529,353.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.