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Finding the Third Proportional to 12,442,602.38 and 19,042,786.13

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Solution

The third proportional to 12,442,602.38 and 19,042,786.13 is: 29,144,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442,602.38 : 19,042,786.13 = 19,042,786.13 : x
  2. Step 2: Convert to fraction form
    12,442,602.38/19,042,786.13 = 19,042,786.13/x
  3. Step 3: Cross multiply
    12,442,602.38x = 19,042,786.13 × 19,042,786.13
  4. Step 4: Simplify right side
    12,442,602.38x = 362,627,703,402,492.50
  5. Step 5: Solve for x
    x = 362,627,703,402,492.50/12,442,602.38
  6. Step 6: Final answer
    x = 29,144,040.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.