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Finding the Third Proportional to 658,612,897 and 1,437,915,122

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Solution

The third proportional to 658,612,897 and 1,437,915,122 is: 3,139,324,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,612,897 : 1,437,915,122 = 1,437,915,122 : x
  2. Step 2: Convert to fraction form
    658,612,897/1,437,915,122 = 1,437,915,122/x
  3. Step 3: Cross multiply
    658,612,897x = 1,437,915,122 × 1,437,915,122
  4. Step 4: Simplify right side
    658,612,897x = 2,067,599,898,076,274,944
  5. Step 5: Solve for x
    x = 2,067,599,898,076,274,944/658,612,897
  6. Step 6: Final answer
    x = 3,139,324,947.16

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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.