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Finding the Third Proportional to 27,657,783 and 59,747,013

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Solution

The third proportional to 27,657,783 and 59,747,013 is: 129,066,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657,783 : 59,747,013 = 59,747,013 : x
  2. Step 2: Convert to fraction form
    27,657,783/59,747,013 = 59,747,013/x
  3. Step 3: Cross multiply
    27,657,783x = 59,747,013 × 59,747,013
  4. Step 4: Simplify right side
    27,657,783x = 3,569,705,562,422,169
  5. Step 5: Solve for x
    x = 3,569,705,562,422,169/27,657,783
  6. Step 6: Final answer
    x = 129,066,945.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.