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Finding the Third Proportional to 36,144,776 and 55,064,253

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Solution

The third proportional to 36,144,776 and 55,064,253 is: 83,886,865.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144,776 : 55,064,253 = 55,064,253 : x
  2. Step 2: Convert to fraction form
    36,144,776/55,064,253 = 55,064,253/x
  3. Step 3: Cross multiply
    36,144,776x = 55,064,253 × 55,064,253
  4. Step 4: Simplify right side
    36,144,776x = 3,032,071,958,448,009
  5. Step 5: Solve for x
    x = 3,032,071,958,448,009/36,144,776
  6. Step 6: Final answer
    x = 83,886,865.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.