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Finding the Third Proportional to 1,241,754,160 and 2,069,465,544

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Solution

The third proportional to 1,241,754,160 and 2,069,465,544 is: 3,448,901,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,754,160 : 2,069,465,544 = 2,069,465,544 : x
  2. Step 2: Convert to fraction form
    1,241,754,160/2,069,465,544 = 2,069,465,544/x
  3. Step 3: Cross multiply
    1,241,754,160x = 2,069,465,544 × 2,069,465,544
  4. Step 4: Simplify right side
    1,241,754,160x = 4,282,687,637,803,215,872
  5. Step 5: Solve for x
    x = 4,282,687,637,803,215,872/1,241,754,160
  6. Step 6: Final answer
    x = 3,448,901,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.