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Finding the Third Proportional to 51,389,074 and 84,360,830

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Solution

The third proportional to 51,389,074 and 84,360,830 is: 138,487,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,389,074 : 84,360,830 = 84,360,830 : x
  2. Step 2: Convert to fraction form
    51,389,074/84,360,830 = 84,360,830/x
  3. Step 3: Cross multiply
    51,389,074x = 84,360,830 × 84,360,830
  4. Step 4: Simplify right side
    51,389,074x = 7,116,749,638,288,900
  5. Step 5: Solve for x
    x = 7,116,749,638,288,900/51,389,074
  6. Step 6: Final answer
    x = 138,487,602.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.