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Finding the Third Proportional to 5,605,938 and 8,657,343

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Solution

The third proportional to 5,605,938 and 8,657,343 is: 13,369,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,938 : 8,657,343 = 8,657,343 : x
  2. Step 2: Convert to fraction form
    5,605,938/8,657,343 = 8,657,343/x
  3. Step 3: Cross multiply
    5,605,938x = 8,657,343 × 8,657,343
  4. Step 4: Simplify right side
    5,605,938x = 74,949,587,819,649
  5. Step 5: Solve for x
    x = 74,949,587,819,649/5,605,938
  6. Step 6: Final answer
    x = 13,369,678.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.