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Finding the Third Proportional to 65,385,646 and 141,172,736

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Solution

The third proportional to 65,385,646 and 141,172,736 is: 304,803,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385,646 : 141,172,736 = 141,172,736 : x
  2. Step 2: Convert to fraction form
    65,385,646/141,172,736 = 141,172,736/x
  3. Step 3: Cross multiply
    65,385,646x = 141,172,736 × 141,172,736
  4. Step 4: Simplify right side
    65,385,646x = 19,929,741,389,725,696
  5. Step 5: Solve for x
    x = 19,929,741,389,725,696/65,385,646
  6. Step 6: Final answer
    x = 304,803,005.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.