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Finding the Third Proportional to 10,282,714,374 and 14,208,375,306

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Solution

The third proportional to 10,282,714,374 and 14,208,375,306 is: 19,632,746,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282,714,374 : 14,208,375,306 = 14,208,375,306 : x
  2. Step 2: Convert to fraction form
    10,282,714,374/14,208,375,306 = 14,208,375,306/x
  3. Step 3: Cross multiply
    10,282,714,374x = 14,208,375,306 × 14,208,375,306
  4. Step 4: Simplify right side
    10,282,714,374x = 201,877,928,836,150,591,488
  5. Step 5: Solve for x
    x = 201,877,928,836,150,591,488/10,282,714,374
  6. Step 6: Final answer
    x = 19,632,746,908.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.