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Finding the Third Proportional to 64,292,842 and 141,071,780

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Solution

The third proportional to 64,292,842 and 141,071,780 is: 309,540,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292,842 : 141,071,780 = 141,071,780 : x
  2. Step 2: Convert to fraction form
    64,292,842/141,071,780 = 141,071,780/x
  3. Step 3: Cross multiply
    64,292,842x = 141,071,780 × 141,071,780
  4. Step 4: Simplify right side
    64,292,842x = 19,901,247,112,368,400
  5. Step 5: Solve for x
    x = 19,901,247,112,368,400/64,292,842
  6. Step 6: Final answer
    x = 309,540,634.59

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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.