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Finding the Third Proportional to 10,241,569.13 and 21,943,947.94

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Solution

The third proportional to 10,241,569.13 and 21,943,947.94 is: 47,017,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241,569.13 : 21,943,947.94 = 21,943,947.94 : x
  2. Step 2: Convert to fraction form
    10,241,569.13/21,943,947.94 = 21,943,947.94/x
  3. Step 3: Cross multiply
    10,241,569.13x = 21,943,947.94 × 21,943,947.94
  4. Step 4: Simplify right side
    10,241,569.13x = 481,536,851,083,710.50
  5. Step 5: Solve for x
    x = 481,536,851,083,710.50/10,241,569.13
  6. Step 6: Final answer
    x = 47,017,878.34

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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.