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Finding the Third Proportional to 14,584,262 and 31,792,780

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Solution

The third proportional to 14,584,262 and 31,792,780 is: 69,306,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584,262 : 31,792,780 = 31,792,780 : x
  2. Step 2: Convert to fraction form
    14,584,262/31,792,780 = 31,792,780/x
  3. Step 3: Cross multiply
    14,584,262x = 31,792,780 × 31,792,780
  4. Step 4: Simplify right side
    14,584,262x = 1,010,780,860,128,400
  5. Step 5: Solve for x
    x = 1,010,780,860,128,400/14,584,262
  6. Step 6: Final answer
    x = 69,306,274.13

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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.