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Finding the Third Proportional to 5,495,502.38 and 11,747,300.06

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Solution

The third proportional to 5,495,502.38 and 11,747,300.06 is: 25,111,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495,502.38 : 11,747,300.06 = 11,747,300.06 : x
  2. Step 2: Convert to fraction form
    5,495,502.38/11,747,300.06 = 11,747,300.06/x
  3. Step 3: Cross multiply
    5,495,502.38x = 11,747,300.06 × 11,747,300.06
  4. Step 4: Simplify right side
    5,495,502.38x = 137,999,058,758,412.50
  5. Step 5: Solve for x
    x = 137,999,058,758,412.50/5,495,502.38
  6. Step 6: Final answer
    x = 25,111,272.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.