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Finding the Third Proportional to 9,468,798.75 and 20,709,432

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Solution

The third proportional to 9,468,798.75 and 20,709,432 is: 45,294,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,798.75 : 20,709,432 = 20,709,432 : x
  2. Step 2: Convert to fraction form
    9,468,798.75/20,709,432 = 20,709,432/x
  3. Step 3: Cross multiply
    9,468,798.75x = 20,709,432 × 20,709,432
  4. Step 4: Simplify right side
    9,468,798.75x = 428,880,573,762,624
  5. Step 5: Solve for x
    x = 428,880,573,762,624/9,468,798.75
  6. Step 6: Final answer
    x = 45,294,084.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.