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Finding the Third Proportional to 7,607,598 and 16,413,606

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Solution

The third proportional to 7,607,598 and 16,413,606 is: 35,412,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607,598 : 16,413,606 = 16,413,606 : x
  2. Step 2: Convert to fraction form
    7,607,598/16,413,606 = 16,413,606/x
  3. Step 3: Cross multiply
    7,607,598x = 16,413,606 × 16,413,606
  4. Step 4: Simplify right side
    7,607,598x = 269,406,461,923,236
  5. Step 5: Solve for x
    x = 269,406,461,923,236/7,607,598
  6. Step 6: Final answer
    x = 35,412,815.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.