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Finding the Third Proportional to 46,646,530 and 101,497,180

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Solution

The third proportional to 46,646,530 and 101,497,180 is: 220,845,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,646,530 : 101,497,180 = 101,497,180 : x
  2. Step 2: Convert to fraction form
    46,646,530/101,497,180 = 101,497,180/x
  3. Step 3: Cross multiply
    46,646,530x = 101,497,180 × 101,497,180
  4. Step 4: Simplify right side
    46,646,530x = 10,301,677,547,952,400
  5. Step 5: Solve for x
    x = 10,301,677,547,952,400/46,646,530
  6. Step 6: Final answer
    x = 220,845,528.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.