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Finding the Third Proportional to 986,443,608 and 2,146,541,580

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Solution

The third proportional to 986,443,608 and 2,146,541,580 is: 4,670,962,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,443,608 : 2,146,541,580 = 2,146,541,580 : x
  2. Step 2: Convert to fraction form
    986,443,608/2,146,541,580 = 2,146,541,580/x
  3. Step 3: Cross multiply
    986,443,608x = 2,146,541,580 × 2,146,541,580
  4. Step 4: Simplify right side
    986,443,608x = 4,607,640,754,668,896,256
  5. Step 5: Solve for x
    x = 4,607,640,754,668,896,256/986,443,608
  6. Step 6: Final answer
    x = 4,670,962,148.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.