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Finding the Third Proportional to 56,858,679 and 81,252,368.16

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Solution

The third proportional to 56,858,679 and 81,252,368.16 is: 116,111,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,858,679 : 81,252,368.16 = 81,252,368.16 : x
  2. Step 2: Convert to fraction form
    56,858,679/81,252,368.16 = 81,252,368.16/x
  3. Step 3: Cross multiply
    56,858,679x = 81,252,368.16 × 81,252,368.16
  4. Step 4: Simplify right side
    56,858,679x = 6,601,947,330,998,789
  5. Step 5: Solve for x
    x = 6,601,947,330,998,789/56,858,679
  6. Step 6: Final answer
    x = 116,111,514.50

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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.