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Finding the Third Proportional to 5,752,569 and 12,302,983.50

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Solution

The third proportional to 5,752,569 and 12,302,983.50 is: 26,312,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752,569 : 12,302,983.50 = 12,302,983.50 : x
  2. Step 2: Convert to fraction form
    5,752,569/12,302,983.50 = 12,302,983.50/x
  3. Step 3: Cross multiply
    5,752,569x = 12,302,983.50 × 12,302,983.50
  4. Step 4: Simplify right side
    5,752,569x = 151,363,403,001,272.25
  5. Step 5: Solve for x
    x = 151,363,403,001,272.25/5,752,569
  6. Step 6: Final answer
    x = 26,312,314.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.