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Finding the Third Proportional to 4,615,885.13 and 10,684,947.94

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Solution

The third proportional to 4,615,885.13 and 10,684,947.94 is: 24,733,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,885.13 : 10,684,947.94 = 10,684,947.94 : x
  2. Step 2: Convert to fraction form
    4,615,885.13/10,684,947.94 = 10,684,947.94/x
  3. Step 3: Cross multiply
    4,615,885.13x = 10,684,947.94 × 10,684,947.94
  4. Step 4: Simplify right side
    4,615,885.13x = 114,168,112,427,085.50
  5. Step 5: Solve for x
    x = 114,168,112,427,085.50/4,615,885.13
  6. Step 6: Final answer
    x = 24,733,742.14

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.