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Finding the Third Proportional to 32,438,544 and 45,351,072

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Solution

The third proportional to 32,438,544 and 45,351,072 is: 63,403,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438,544 : 45,351,072 = 45,351,072 : x
  2. Step 2: Convert to fraction form
    32,438,544/45,351,072 = 45,351,072/x
  3. Step 3: Cross multiply
    32,438,544x = 45,351,072 × 45,351,072
  4. Step 4: Simplify right side
    32,438,544x = 2,056,719,731,549,184
  5. Step 5: Solve for x
    x = 2,056,719,731,549,184/32,438,544
  6. Step 6: Final answer
    x = 63,403,577.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.