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Finding the Third Proportional to 1,564,591,019 and 3,315,717,829

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Solution

The third proportional to 1,564,591,019 and 3,315,717,829 is: 7,026,746,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,591,019 : 3,315,717,829 = 3,315,717,829 : x
  2. Step 2: Convert to fraction form
    1,564,591,019/3,315,717,829 = 3,315,717,829/x
  3. Step 3: Cross multiply
    1,564,591,019x = 3,315,717,829 × 3,315,717,829
  4. Step 4: Simplify right side
    1,564,591,019x = 10,993,984,721,548,472,320
  5. Step 5: Solve for x
    x = 10,993,984,721,548,472,320/1,564,591,019
  6. Step 6: Final answer
    x = 7,026,746,662.89

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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.