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Finding the Third Proportional to 61,232,364,979.50 and 85,138,709,077.50

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Solution

The third proportional to 61,232,364,979.50 and 85,138,709,077.50 is: 118,378,569,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,232,364,979.50 : 85,138,709,077.50 = 85,138,709,077.50 : x
  2. Step 2: Convert to fraction form
    61,232,364,979.50/85,138,709,077.50 = 85,138,709,077.50/x
  3. Step 3: Cross multiply
    61,232,364,979.50x = 85,138,709,077.50 × 85,138,709,077.50
  4. Step 4: Simplify right side
    61,232,364,979.50x = 7,248,599,783,383,181,033,472
  5. Step 5: Solve for x
    x = 7,248,599,783,383,181,033,472/61,232,364,979.50
  6. Step 6: Final answer
    x = 118,378,569,663.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.