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Finding the Third Proportional to 46,649,164 and 64,304,952

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Solution

The third proportional to 46,649,164 and 64,304,952 is: 88,643,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649,164 : 64,304,952 = 64,304,952 : x
  2. Step 2: Convert to fraction form
    46,649,164/64,304,952 = 64,304,952/x
  3. Step 3: Cross multiply
    46,649,164x = 64,304,952 × 64,304,952
  4. Step 4: Simplify right side
    46,649,164x = 4,135,126,851,722,304
  5. Step 5: Solve for x
    x = 4,135,126,851,722,304/46,649,164
  6. Step 6: Final answer
    x = 88,643,107.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.