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Finding the Third Proportional to 7,875,417.38 and 17,095,293

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Solution

The third proportional to 7,875,417.38 and 17,095,293 is: 37,109,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875,417.38 : 17,095,293 = 17,095,293 : x
  2. Step 2: Convert to fraction form
    7,875,417.38/17,095,293 = 17,095,293/x
  3. Step 3: Cross multiply
    7,875,417.38x = 17,095,293 × 17,095,293
  4. Step 4: Simplify right side
    7,875,417.38x = 292,249,042,755,849
  5. Step 5: Solve for x
    x = 292,249,042,755,849/7,875,417.38
  6. Step 6: Final answer
    x = 37,109,022.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.