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Finding the Third Proportional to 61,232,364,927 and 85,138,709,009

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Solution

The third proportional to 61,232,364,927 and 85,138,709,009 is: 118,378,569,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,232,364,927 : 85,138,709,009 = 85,138,709,009 : x
  2. Step 2: Convert to fraction form
    61,232,364,927/85,138,709,009 = 85,138,709,009/x
  3. Step 3: Cross multiply
    61,232,364,927x = 85,138,709,009 × 85,138,709,009
  4. Step 4: Simplify right side
    61,232,364,927x = 7,248,599,771,719,178,125,312
  5. Step 5: Solve for x
    x = 7,248,599,771,719,178,125,312/61,232,364,927
  6. Step 6: Final answer
    x = 118,378,569,574.45

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Why These Related Problems?

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