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Finding the Third Proportional to 46,891,764 and 70,827,642

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Solution

The third proportional to 46,891,764 and 70,827,642 is: 106,981,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,891,764 : 70,827,642 = 70,827,642 : x
  2. Step 2: Convert to fraction form
    46,891,764/70,827,642 = 70,827,642/x
  3. Step 3: Cross multiply
    46,891,764x = 70,827,642 × 70,827,642
  4. Step 4: Simplify right side
    46,891,764x = 5,016,554,871,280,164
  5. Step 5: Solve for x
    x = 5,016,554,871,280,164/46,891,764
  6. Step 6: Final answer
    x = 106,981,577.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.