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Finding the Third Proportional to 7,607,602 and 16,413,614

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Solution

The third proportional to 7,607,602 and 16,413,614 is: 35,412,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607,602 : 16,413,614 = 16,413,614 : x
  2. Step 2: Convert to fraction form
    7,607,602/16,413,614 = 16,413,614/x
  3. Step 3: Cross multiply
    7,607,602x = 16,413,614 × 16,413,614
  4. Step 4: Simplify right side
    7,607,602x = 269,406,724,540,996
  5. Step 5: Solve for x
    x = 269,406,724,540,996/7,607,602
  6. Step 6: Final answer
    x = 35,412,831.08

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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.