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Finding the Third Proportional to 5,238,430.50 and 7,825,386

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Solution

The third proportional to 5,238,430.50 and 7,825,386 is: 11,689,888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238,430.50 : 7,825,386 = 7,825,386 : x
  2. Step 2: Convert to fraction form
    5,238,430.50/7,825,386 = 7,825,386/x
  3. Step 3: Cross multiply
    5,238,430.50x = 7,825,386 × 7,825,386
  4. Step 4: Simplify right side
    5,238,430.50x = 61,236,666,048,996
  5. Step 5: Solve for x
    x = 61,236,666,048,996/5,238,430.50
  6. Step 6: Final answer
    x = 11,689,888.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.