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Finding the Third Proportional to 9,685,064 and 15,605,224

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Solution

The third proportional to 9,685,064 and 15,605,224 is: 25,144,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685,064 : 15,605,224 = 15,605,224 : x
  2. Step 2: Convert to fraction form
    9,685,064/15,605,224 = 15,605,224/x
  3. Step 3: Cross multiply
    9,685,064x = 15,605,224 × 15,605,224
  4. Step 4: Simplify right side
    9,685,064x = 243,523,016,090,176
  5. Step 5: Solve for x
    x = 243,523,016,090,176/9,685,064
  6. Step 6: Final answer
    x = 25,144,182.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.