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Finding the Third Proportional to 5,683,126.50 and 8,666,521.88

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Solution

The third proportional to 5,683,126.50 and 8,666,521.88 is: 13,216,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683,126.50 : 8,666,521.88 = 8,666,521.88 : x
  2. Step 2: Convert to fraction form
    5,683,126.50/8,666,521.88 = 8,666,521.88/x
  3. Step 3: Cross multiply
    5,683,126.50x = 8,666,521.88 × 8,666,521.88
  4. Step 4: Simplify right side
    5,683,126.50x = 75,108,601,409,853.52
  5. Step 5: Solve for x
    x = 75,108,601,409,853.52/5,683,126.50
  6. Step 6: Final answer
    x = 13,216,070.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.