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Finding the Third Proportional to 61,717,533 and 84,062,164

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Solution

The third proportional to 61,717,533 and 84,062,164 is: 114,496,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,717,533 : 84,062,164 = 84,062,164 : x
  2. Step 2: Convert to fraction form
    61,717,533/84,062,164 = 84,062,164/x
  3. Step 3: Cross multiply
    61,717,533x = 84,062,164 × 84,062,164
  4. Step 4: Simplify right side
    61,717,533x = 7,066,447,416,362,896
  5. Step 5: Solve for x
    x = 7,066,447,416,362,896/61,717,533
  6. Step 6: Final answer
    x = 114,496,595.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.