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Finding the Third Proportional to 27,938,322 and 41,735,421

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Solution

The third proportional to 27,938,322 and 41,735,421 is: 62,346,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938,322 : 41,735,421 = 41,735,421 : x
  2. Step 2: Convert to fraction form
    27,938,322/41,735,421 = 41,735,421/x
  3. Step 3: Cross multiply
    27,938,322x = 41,735,421 × 41,735,421
  4. Step 4: Simplify right side
    27,938,322x = 1,741,845,366,047,241
  5. Step 5: Solve for x
    x = 1,741,845,366,047,241/27,938,322
  6. Step 6: Final answer
    x = 62,346,098.17

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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.