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Finding the Third Proportional to 45,270,967 and 98,062,773

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Solution

The third proportional to 45,270,967 and 98,062,773 is: 212,416,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,270,967 : 98,062,773 = 98,062,773 : x
  2. Step 2: Convert to fraction form
    45,270,967/98,062,773 = 98,062,773/x
  3. Step 3: Cross multiply
    45,270,967x = 98,062,773 × 98,062,773
  4. Step 4: Simplify right side
    45,270,967x = 9,616,307,448,449,528
  5. Step 5: Solve for x
    x = 9,616,307,448,449,528/45,270,967
  6. Step 6: Final answer
    x = 212,416,656.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.