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Finding the Third Proportional to 1,564,591,017 and 3,315,717,825

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Solution

The third proportional to 1,564,591,017 and 3,315,717,825 is: 7,026,746,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,591,017 : 3,315,717,825 = 3,315,717,825 : x
  2. Step 2: Convert to fraction form
    1,564,591,017/3,315,717,825 = 3,315,717,825/x
  3. Step 3: Cross multiply
    1,564,591,017x = 3,315,717,825 × 3,315,717,825
  4. Step 4: Simplify right side
    1,564,591,017x = 10,993,984,695,022,731,264
  5. Step 5: Solve for x
    x = 10,993,984,695,022,731,264/1,564,591,017
  6. Step 6: Final answer
    x = 7,026,746,654.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.