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Finding the Third Proportional to 32,454,719 and 46,407,039

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Solution

The third proportional to 32,454,719 and 46,407,039 is: 66,357,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454,719 : 46,407,039 = 46,407,039 : x
  2. Step 2: Convert to fraction form
    32,454,719/46,407,039 = 46,407,039/x
  3. Step 3: Cross multiply
    32,454,719x = 46,407,039 × 46,407,039
  4. Step 4: Simplify right side
    32,454,719x = 2,153,613,268,747,521
  5. Step 5: Solve for x
    x = 2,153,613,268,747,521/32,454,719
  6. Step 6: Final answer
    x = 66,357,476.97

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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.