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Finding the Third Proportional to 53,968,766 and 82,902,624

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Solution

The third proportional to 53,968,766 and 82,902,624 is: 127,348,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968,766 : 82,902,624 = 82,902,624 : x
  2. Step 2: Convert to fraction form
    53,968,766/82,902,624 = 82,902,624/x
  3. Step 3: Cross multiply
    53,968,766x = 82,902,624 × 82,902,624
  4. Step 4: Simplify right side
    53,968,766x = 6,872,845,066,085,376
  5. Step 5: Solve for x
    x = 6,872,845,066,085,376/53,968,766
  6. Step 6: Final answer
    x = 127,348,567.99

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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.