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Finding the Third Proportional to 45,810,822 and 98,794,842

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Solution

The third proportional to 45,810,822 and 98,794,842 is: 213,059,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,810,822 : 98,794,842 = 98,794,842 : x
  2. Step 2: Convert to fraction form
    45,810,822/98,794,842 = 98,794,842/x
  3. Step 3: Cross multiply
    45,810,822x = 98,794,842 × 98,794,842
  4. Step 4: Simplify right side
    45,810,822x = 9,760,420,805,804,964
  5. Step 5: Solve for x
    x = 9,760,420,805,804,964/45,810,822
  6. Step 6: Final answer
    x = 213,059,281.18

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Why These Related Problems?

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