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Finding the Third Proportional to 1,214,472,713 and 1,865,903,095

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Solution

The third proportional to 1,214,472,713 and 1,865,903,095 is: 2,866,753,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,472,713 : 1,865,903,095 = 1,865,903,095 : x
  2. Step 2: Convert to fraction form
    1,214,472,713/1,865,903,095 = 1,865,903,095/x
  3. Step 3: Cross multiply
    1,214,472,713x = 1,865,903,095 × 1,865,903,095
  4. Step 4: Simplify right side
    1,214,472,713x = 3,481,594,359,930,578,944
  5. Step 5: Solve for x
    x = 3,481,594,359,930,578,944/1,214,472,713
  6. Step 6: Final answer
    x = 2,866,753,878.18

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Why These Related Problems?

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