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Finding the Third Proportional to 56,858,706 and 81,252,407.81

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Solution

The third proportional to 56,858,706 and 81,252,407.81 is: 116,111,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,858,706 : 81,252,407.81 = 81,252,407.81 : x
  2. Step 2: Convert to fraction form
    56,858,706/81,252,407.81 = 81,252,407.81/x
  3. Step 3: Cross multiply
    56,858,706x = 81,252,407.81 × 81,252,407.81
  4. Step 4: Simplify right side
    56,858,706x = 6,601,953,775,328,811
  5. Step 5: Solve for x
    x = 6,601,953,775,328,811/56,858,706
  6. Step 6: Final answer
    x = 116,111,572.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.