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Finding the Third Proportional to 614,565,338 and 1,351,712,942

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Solution

The third proportional to 614,565,338 and 1,351,712,942 is: 2,973,040,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,565,338 : 1,351,712,942 = 1,351,712,942 : x
  2. Step 2: Convert to fraction form
    614,565,338/1,351,712,942 = 1,351,712,942/x
  3. Step 3: Cross multiply
    614,565,338x = 1,351,712,942 × 1,351,712,942
  4. Step 4: Simplify right side
    614,565,338x = 1,827,127,877,570,295,296
  5. Step 5: Solve for x
    x = 1,827,127,877,570,295,296/614,565,338
  6. Step 6: Final answer
    x = 2,973,040,886.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.