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Finding the Third Proportional to 7,677,622 and 16,403,364

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Solution

The third proportional to 7,677,622 and 16,403,364 is: 35,046,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,622 : 16,403,364 = 16,403,364 : x
  2. Step 2: Convert to fraction form
    7,677,622/16,403,364 = 16,403,364/x
  3. Step 3: Cross multiply
    7,677,622x = 16,403,364 × 16,403,364
  4. Step 4: Simplify right side
    7,677,622x = 269,070,350,516,496
  5. Step 5: Solve for x
    x = 269,070,350,516,496/7,677,622
  6. Step 6: Final answer
    x = 35,046,053.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.