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Finding the Third Proportional to 9,225,974.25 and 14,662,913.63

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Solution

The third proportional to 9,225,974.25 and 14,662,913.63 is: 23,303,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225,974.25 : 14,662,913.63 = 14,662,913.63 : x
  2. Step 2: Convert to fraction form
    9,225,974.25/14,662,913.63 = 14,662,913.63/x
  3. Step 3: Cross multiply
    9,225,974.25x = 14,662,913.63 × 14,662,913.63
  4. Step 4: Simplify right side
    9,225,974.25x = 215,001,035,974,210.62
  5. Step 5: Solve for x
    x = 215,001,035,974,210.62/9,225,974.25
  6. Step 6: Final answer
    x = 23,303,884.25

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1.5x scale

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.