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Finding the Third Proportional to 62,922,920 and 148,326,816

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Solution

The third proportional to 62,922,920 and 148,326,816 is: 349,647,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,922,920 : 148,326,816 = 148,326,816 : x
  2. Step 2: Convert to fraction form
    62,922,920/148,326,816 = 148,326,816/x
  3. Step 3: Cross multiply
    62,922,920x = 148,326,816 × 148,326,816
  4. Step 4: Simplify right side
    62,922,920x = 22,000,844,344,697,856
  5. Step 5: Solve for x
    x = 22,000,844,344,697,856/62,922,920
  6. Step 6: Final answer
    x = 349,647,542.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.