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Finding the Third Proportional to 4,959,403 and 7,660,091

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Solution

The third proportional to 4,959,403 and 7,660,091 is: 11,831,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959,403 : 7,660,091 = 7,660,091 : x
  2. Step 2: Convert to fraction form
    4,959,403/7,660,091 = 7,660,091/x
  3. Step 3: Cross multiply
    4,959,403x = 7,660,091 × 7,660,091
  4. Step 4: Simplify right side
    4,959,403x = 58,676,994,128,281
  5. Step 5: Solve for x
    x = 58,676,994,128,281/4,959,403
  6. Step 6: Final answer
    x = 11,831,463.21

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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.