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Finding the Third Proportional to 12,884,623.50 and 27,613,641

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Solution

The third proportional to 12,884,623.50 and 27,613,641 is: 59,180,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,623.50 : 27,613,641 = 27,613,641 : x
  2. Step 2: Convert to fraction form
    12,884,623.50/27,613,641 = 27,613,641/x
  3. Step 3: Cross multiply
    12,884,623.50x = 27,613,641 × 27,613,641
  4. Step 4: Simplify right side
    12,884,623.50x = 762,513,169,276,881
  5. Step 5: Solve for x
    x = 762,513,169,276,881/12,884,623.50
  6. Step 6: Final answer
    x = 59,180,089.30

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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.