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Finding the Third Proportional to 1,044,299,870 and 1,566,449,991

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Solution

The third proportional to 1,044,299,870 and 1,566,449,991 is: 2,349,675,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044,299,870 : 1,566,449,991 = 1,566,449,991 : x
  2. Step 2: Convert to fraction form
    1,044,299,870/1,566,449,991 = 1,566,449,991/x
  3. Step 3: Cross multiply
    1,044,299,870x = 1,566,449,991 × 1,566,449,991
  4. Step 4: Simplify right side
    1,044,299,870x = 2,453,765,574,303,900,160
  5. Step 5: Solve for x
    x = 2,453,765,574,303,900,160/1,044,299,870
  6. Step 6: Final answer
    x = 2,349,675,265.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.