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Finding the Third Proportional to 10,786,470 and 23,173,822.50

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Solution

The third proportional to 10,786,470 and 23,173,822.50 is: 49,787,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,470 : 23,173,822.50 = 23,173,822.50 : x
  2. Step 2: Convert to fraction form
    10,786,470/23,173,822.50 = 23,173,822.50/x
  3. Step 3: Cross multiply
    10,786,470x = 23,173,822.50 × 23,173,822.50
  4. Step 4: Simplify right side
    10,786,470x = 537,026,049,261,506.25
  5. Step 5: Solve for x
    x = 537,026,049,261,506.25/10,786,470
  6. Step 6: Final answer
    x = 49,787,006.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.