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Finding the Third Proportional to 40,348,826 and 83,568,664

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Solution

The third proportional to 40,348,826 and 83,568,664 is: 173,083,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,826 : 83,568,664 = 83,568,664 : x
  2. Step 2: Convert to fraction form
    40,348,826/83,568,664 = 83,568,664/x
  3. Step 3: Cross multiply
    40,348,826x = 83,568,664 × 83,568,664
  4. Step 4: Simplify right side
    40,348,826x = 6,983,721,602,744,896
  5. Step 5: Solve for x
    x = 6,983,721,602,744,896/40,348,826
  6. Step 6: Final answer
    x = 173,083,638.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.