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Finding the Third Proportional to 4,532,580 and 9,738,792

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Solution

The third proportional to 4,532,580 and 9,738,792 is: 20,924,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532,580 : 9,738,792 = 9,738,792 : x
  2. Step 2: Convert to fraction form
    4,532,580/9,738,792 = 9,738,792/x
  3. Step 3: Cross multiply
    4,532,580x = 9,738,792 × 9,738,792
  4. Step 4: Simplify right side
    4,532,580x = 94,844,069,619,264
  5. Step 5: Solve for x
    x = 94,844,069,619,264/4,532,580
  6. Step 6: Final answer
    x = 20,924,963.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.