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Finding the Third Proportional to 9,071,473.50 and 14,046,007.50

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Solution

The third proportional to 9,071,473.50 and 14,046,007.50 is: 21,748,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071,473.50 : 14,046,007.50 = 14,046,007.50 : x
  2. Step 2: Convert to fraction form
    9,071,473.50/14,046,007.50 = 14,046,007.50/x
  3. Step 3: Cross multiply
    9,071,473.50x = 14,046,007.50 × 14,046,007.50
  4. Step 4: Simplify right side
    9,071,473.50x = 197,290,326,690,056.25
  5. Step 5: Solve for x
    x = 197,290,326,690,056.25/9,071,473.50
  6. Step 6: Final answer
    x = 21,748,432.24

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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.