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Finding the Third Proportional to 35,416,672 and 77,394,240

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Solution

The third proportional to 35,416,672 and 77,394,240 is: 169,125,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,416,672 : 77,394,240 = 77,394,240 : x
  2. Step 2: Convert to fraction form
    35,416,672/77,394,240 = 77,394,240/x
  3. Step 3: Cross multiply
    35,416,672x = 77,394,240 × 77,394,240
  4. Step 4: Simplify right side
    35,416,672x = 5,989,868,385,177,600
  5. Step 5: Solve for x
    x = 5,989,868,385,177,600/35,416,672
  6. Step 6: Final answer
    x = 169,125,670.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.