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Finding the Third Proportional to 22,533,592 and 48,659,216

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Solution

The third proportional to 22,533,592 and 48,659,216 is: 105,075,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533,592 : 48,659,216 = 48,659,216 : x
  2. Step 2: Convert to fraction form
    22,533,592/48,659,216 = 48,659,216/x
  3. Step 3: Cross multiply
    22,533,592x = 48,659,216 × 48,659,216
  4. Step 4: Simplify right side
    22,533,592x = 2,367,719,301,734,656
  5. Step 5: Solve for x
    x = 2,367,719,301,734,656/22,533,592
  6. Step 6: Final answer
    x = 105,075,094.19

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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.