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Finding the Third Proportional to 40,556,796 and 90,181,248

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Solution

The third proportional to 40,556,796 and 90,181,248 is: 200,525,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,556,796 : 90,181,248 = 90,181,248 : x
  2. Step 2: Convert to fraction form
    40,556,796/90,181,248 = 90,181,248/x
  3. Step 3: Cross multiply
    40,556,796x = 90,181,248 × 90,181,248
  4. Step 4: Simplify right side
    40,556,796x = 8,132,657,490,837,504
  5. Step 5: Solve for x
    x = 8,132,657,490,837,504/40,556,796
  6. Step 6: Final answer
    x = 200,525,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.