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Finding the Third Proportional to 12,138,097.59 and 26,007,527.81

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Solution

The third proportional to 12,138,097.59 and 26,007,527.81 is: 55,724,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138,097.59 : 26,007,527.81 = 26,007,527.81 : x
  2. Step 2: Convert to fraction form
    12,138,097.59/26,007,527.81 = 26,007,527.81/x
  3. Step 3: Cross multiply
    12,138,097.59x = 26,007,527.81 × 26,007,527.81
  4. Step 4: Simplify right side
    12,138,097.59x = 676,391,502,917,961
  5. Step 5: Solve for x
    x = 676,391,502,917,961/12,138,097.59
  6. Step 6: Final answer
    x = 55,724,671.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.