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Finding the Third Proportional to 5,964,862.50 and 9,460,282.50

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Solution

The third proportional to 5,964,862.50 and 9,460,282.50 is: 15,004,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964,862.50 : 9,460,282.50 = 9,460,282.50 : x
  2. Step 2: Convert to fraction form
    5,964,862.50/9,460,282.50 = 9,460,282.50/x
  3. Step 3: Cross multiply
    5,964,862.50x = 9,460,282.50 × 9,460,282.50
  4. Step 4: Simplify right side
    5,964,862.50x = 89,496,944,979,806.25
  5. Step 5: Solve for x
    x = 89,496,944,979,806.25/5,964,862.50
  6. Step 6: Final answer
    x = 15,004,024.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.