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Finding the Third Proportional to 14,584,466 and 31,793,164

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Solution

The third proportional to 14,584,466 and 31,793,164 is: 69,306,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584,466 : 31,793,164 = 31,793,164 : x
  2. Step 2: Convert to fraction form
    14,584,466/31,793,164 = 31,793,164/x
  3. Step 3: Cross multiply
    14,584,466x = 31,793,164 × 31,793,164
  4. Step 4: Simplify right side
    14,584,466x = 1,010,805,277,130,896
  5. Step 5: Solve for x
    x = 1,010,805,277,130,896/14,584,466
  6. Step 6: Final answer
    x = 69,306,978.89

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