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Finding the Third Proportional to 13,643,608 and 29,557,746

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Solution

The third proportional to 13,643,608 and 29,557,746 is: 64,034,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,608 : 29,557,746 = 29,557,746 : x
  2. Step 2: Convert to fraction form
    13,643,608/29,557,746 = 29,557,746/x
  3. Step 3: Cross multiply
    13,643,608x = 29,557,746 × 29,557,746
  4. Step 4: Simplify right side
    13,643,608x = 873,660,348,600,516
  5. Step 5: Solve for x
    x = 873,660,348,600,516/13,643,608
  6. Step 6: Final answer
    x = 64,034,407.07

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Why These Related Problems?

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