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Finding the Third Proportional to 9,498,323.25 and 14,712,678

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Solution

The third proportional to 9,498,323.25 and 14,712,678 is: 22,789,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498,323.25 : 14,712,678 = 14,712,678 : x
  2. Step 2: Convert to fraction form
    9,498,323.25/14,712,678 = 14,712,678/x
  3. Step 3: Cross multiply
    9,498,323.25x = 14,712,678 × 14,712,678
  4. Step 4: Simplify right side
    9,498,323.25x = 216,462,893,931,684
  5. Step 5: Solve for x
    x = 216,462,893,931,684/9,498,323.25
  6. Step 6: Final answer
    x = 22,789,590.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.