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Finding the Third Proportional to 1,377,675,870 and 2,127,416,415

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Solution

The third proportional to 1,377,675,870 and 2,127,416,415 is: 3,285,170,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,675,870 : 2,127,416,415 = 2,127,416,415 : x
  2. Step 2: Convert to fraction form
    1,377,675,870/2,127,416,415 = 2,127,416,415/x
  3. Step 3: Cross multiply
    1,377,675,870x = 2,127,416,415 × 2,127,416,415
  4. Step 4: Simplify right side
    1,377,675,870x = 4,525,900,602,811,452,416
  5. Step 5: Solve for x
    x = 4,525,900,602,811,452,416/1,377,675,870
  6. Step 6: Final answer
    x = 3,285,170,845.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.