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Finding the Third Proportional to 46,551,522 and 101,160,924

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Solution

The third proportional to 46,551,522 and 101,160,924 is: 219,832,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,551,522 : 101,160,924 = 101,160,924 : x
  2. Step 2: Convert to fraction form
    46,551,522/101,160,924 = 101,160,924/x
  3. Step 3: Cross multiply
    46,551,522x = 101,160,924 × 101,160,924
  4. Step 4: Simplify right side
    46,551,522x = 10,233,532,544,533,776
  5. Step 5: Solve for x
    x = 10,233,532,544,533,776/46,551,522
  6. Step 6: Final answer
    x = 219,832,394.41

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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.