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Finding the Third Proportional to 32,111,166 and 45,775,017

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Solution

The third proportional to 32,111,166 and 45,775,017 is: 65,253,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,111,166 : 45,775,017 = 45,775,017 : x
  2. Step 2: Convert to fraction form
    32,111,166/45,775,017 = 45,775,017/x
  3. Step 3: Cross multiply
    32,111,166x = 45,775,017 × 45,775,017
  4. Step 4: Simplify right side
    32,111,166x = 2,095,352,181,350,289
  5. Step 5: Solve for x
    x = 2,095,352,181,350,289/32,111,166
  6. Step 6: Final answer
    x = 65,253,070.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.