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Finding the Third Proportional to 2,409,977,332 and 3,724,029,510

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Solution

The third proportional to 2,409,977,332 and 3,724,029,510 is: 5,754,575,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,977,332 : 3,724,029,510 = 3,724,029,510 : x
  2. Step 2: Convert to fraction form
    2,409,977,332/3,724,029,510 = 3,724,029,510/x
  3. Step 3: Cross multiply
    2,409,977,332x = 3,724,029,510 × 3,724,029,510
  4. Step 4: Simplify right side
    2,409,977,332x = 13,868,395,791,350,839,296
  5. Step 5: Solve for x
    x = 13,868,395,791,350,839,296/2,409,977,332
  6. Step 6: Final answer
    x = 5,754,575,201.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.