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Finding the Third Proportional to 10,119,378.09 and 16,009,746.19

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Solution

The third proportional to 10,119,378.09 and 16,009,746.19 is: 25,328,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119,378.09 : 16,009,746.19 = 16,009,746.19 : x
  2. Step 2: Convert to fraction form
    10,119,378.09/16,009,746.19 = 16,009,746.19/x
  3. Step 3: Cross multiply
    10,119,378.09x = 16,009,746.19 × 16,009,746.19
  4. Step 4: Simplify right side
    10,119,378.09x = 256,311,972,988,170.78
  5. Step 5: Solve for x
    x = 256,311,972,988,170.78/10,119,378.09
  6. Step 6: Final answer
    x = 25,328,826.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.