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Finding the Third Proportional to 3,252,417,249 and 4,388,274,460

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Solution

The third proportional to 3,252,417,249 and 4,388,274,460 is: 5,920,812,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252,417,249 : 4,388,274,460 = 4,388,274,460 : x
  2. Step 2: Convert to fraction form
    3,252,417,249/4,388,274,460 = 4,388,274,460/x
  3. Step 3: Cross multiply
    3,252,417,249x = 4,388,274,460 × 4,388,274,460
  4. Step 4: Simplify right side
    3,252,417,249x = 19,256,952,736,288,292,864
  5. Step 5: Solve for x
    x = 19,256,952,736,288,292,864/3,252,417,249
  6. Step 6: Final answer
    x = 5,920,812,510.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.