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Finding the Third Proportional to 52,849,266 and 80,853,460

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Solution

The third proportional to 52,849,266 and 80,853,460 is: 123,696,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849,266 : 80,853,460 = 80,853,460 : x
  2. Step 2: Convert to fraction form
    52,849,266/80,853,460 = 80,853,460/x
  3. Step 3: Cross multiply
    52,849,266x = 80,853,460 × 80,853,460
  4. Step 4: Simplify right side
    52,849,266x = 6,537,281,993,971,600
  5. Step 5: Solve for x
    x = 6,537,281,993,971,600/52,849,266
  6. Step 6: Final answer
    x = 123,696,741.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.