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Finding the Third Proportional to 5,834,364,374 and 12,553,617,840

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Solution

The third proportional to 5,834,364,374 and 12,553,617,840 is: 27,011,223,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834,364,374 : 12,553,617,840 = 12,553,617,840 : x
  2. Step 2: Convert to fraction form
    5,834,364,374/12,553,617,840 = 12,553,617,840/x
  3. Step 3: Cross multiply
    5,834,364,374x = 12,553,617,840 × 12,553,617,840
  4. Step 4: Simplify right side
    5,834,364,374x = 157,593,320,872,766,275,584
  5. Step 5: Solve for x
    x = 157,593,320,872,766,275,584/5,834,364,374
  6. Step 6: Final answer
    x = 27,011,223,634.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.