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Finding the Third Proportional to 47,834,360 and 112,298,780

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Solution

The third proportional to 47,834,360 and 112,298,780 is: 263,639,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,834,360 : 112,298,780 = 112,298,780 : x
  2. Step 2: Convert to fraction form
    47,834,360/112,298,780 = 112,298,780/x
  3. Step 3: Cross multiply
    47,834,360x = 112,298,780 × 112,298,780
  4. Step 4: Simplify right side
    47,834,360x = 12,611,015,989,488,400
  5. Step 5: Solve for x
    x = 12,611,015,989,488,400/47,834,360
  6. Step 6: Final answer
    x = 263,639,274.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.