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Finding the Third Proportional to 35,514,702 and 77,942,148

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Solution

The third proportional to 35,514,702 and 77,942,148 is: 171,055,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514,702 : 77,942,148 = 77,942,148 : x
  2. Step 2: Convert to fraction form
    35,514,702/77,942,148 = 77,942,148/x
  3. Step 3: Cross multiply
    35,514,702x = 77,942,148 × 77,942,148
  4. Step 4: Simplify right side
    35,514,702x = 6,074,978,434,853,904
  5. Step 5: Solve for x
    x = 6,074,978,434,853,904/35,514,702
  6. Step 6: Final answer
    x = 171,055,312.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.