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Finding the Third Proportional to 107,402,473,724 and 168,482,786,612

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Solution

The third proportional to 107,402,473,724 and 168,482,786,612 is: 264,299,772,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,402,473,724 : 168,482,786,612 = 168,482,786,612 : x
  2. Step 2: Convert to fraction form
    107,402,473,724/168,482,786,612 = 168,482,786,612/x
  3. Step 3: Cross multiply
    107,402,473,724x = 168,482,786,612 × 168,482,786,612
  4. Step 4: Simplify right side
    107,402,473,724x = 28,386,449,384,544,726,417,408
  5. Step 5: Solve for x
    x = 28,386,449,384,544,726,417,408/107,402,473,724
  6. Step 6: Final answer
    x = 264,299,772,624.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.