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Finding the Third Proportional to 9,348,410.81 and 14,360,302.69

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Solution

The third proportional to 9,348,410.81 and 14,360,302.69 is: 22,059,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348,410.81 : 14,360,302.69 = 14,360,302.69 : x
  2. Step 2: Convert to fraction form
    9,348,410.81/14,360,302.69 = 14,360,302.69/x
  3. Step 3: Cross multiply
    9,348,410.81x = 14,360,302.69 × 14,360,302.69
  4. Step 4: Simplify right side
    9,348,410.81x = 206,218,293,276,619.72
  5. Step 5: Solve for x
    x = 206,218,293,276,619.72/9,348,410.81
  6. Step 6: Final answer
    x = 22,059,181.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.