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Finding the Third Proportional to 7,669,569 and 16,712,031

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Solution

The third proportional to 7,669,569 and 16,712,031 is: 36,415,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,569 : 16,712,031 = 16,712,031 : x
  2. Step 2: Convert to fraction form
    7,669,569/16,712,031 = 16,712,031/x
  3. Step 3: Cross multiply
    7,669,569x = 16,712,031 × 16,712,031
  4. Step 4: Simplify right side
    7,669,569x = 279,291,980,144,961
  5. Step 5: Solve for x
    x = 279,291,980,144,961/7,669,569
  6. Step 6: Final answer
    x = 36,415,603.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.