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Finding the Third Proportional to 27,938,298 and 41,735,382

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Solution

The third proportional to 27,938,298 and 41,735,382 is: 62,346,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938,298 : 41,735,382 = 41,735,382 : x
  2. Step 2: Convert to fraction form
    27,938,298/41,735,382 = 41,735,382/x
  3. Step 3: Cross multiply
    27,938,298x = 41,735,382 × 41,735,382
  4. Step 4: Simplify right side
    27,938,298x = 1,741,842,110,685,924
  5. Step 5: Solve for x
    x = 1,741,842,110,685,924/27,938,298
  6. Step 6: Final answer
    x = 62,346,035.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.