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Finding the Third Proportional to 31,117,276 and 45,666,983

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Solution

The third proportional to 31,117,276 and 45,666,983 is: 67,019,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117,276 : 45,666,983 = 45,666,983 : x
  2. Step 2: Convert to fraction form
    31,117,276/45,666,983 = 45,666,983/x
  3. Step 3: Cross multiply
    31,117,276x = 45,666,983 × 45,666,983
  4. Step 4: Simplify right side
    31,117,276x = 2,085,473,336,322,289
  5. Step 5: Solve for x
    x = 2,085,473,336,322,289/31,117,276
  6. Step 6: Final answer
    x = 67,019,791.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.