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Finding the Third Proportional to 8,772,742.13 and 19,562,593.50

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Solution

The third proportional to 8,772,742.13 and 19,562,593.50 is: 43,623,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772,742.13 : 19,562,593.50 = 19,562,593.50 : x
  2. Step 2: Convert to fraction form
    8,772,742.13/19,562,593.50 = 19,562,593.50/x
  3. Step 3: Cross multiply
    8,772,742.13x = 19,562,593.50 × 19,562,593.50
  4. Step 4: Simplify right side
    8,772,742.13x = 382,695,064,446,242.25
  5. Step 5: Solve for x
    x = 382,695,064,446,242.25/8,772,742.13
  6. Step 6: Final answer
    x = 43,623,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.