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Finding the Third Proportional to 36,035,259 and 77,739,210

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Solution

The third proportional to 36,035,259 and 77,739,210 is: 167,707,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035,259 : 77,739,210 = 77,739,210 : x
  2. Step 2: Convert to fraction form
    36,035,259/77,739,210 = 77,739,210/x
  3. Step 3: Cross multiply
    36,035,259x = 77,739,210 × 77,739,210
  4. Step 4: Simplify right side
    36,035,259x = 6,043,384,771,424,100
  5. Step 5: Solve for x
    x = 6,043,384,771,424,100/36,035,259
  6. Step 6: Final answer
    x = 167,707,543.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.