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Finding the Third Proportional to 8,564,526 and 12,610,224

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Solution

The third proportional to 8,564,526 and 12,610,224 is: 18,567,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,526 : 12,610,224 = 12,610,224 : x
  2. Step 2: Convert to fraction form
    8,564,526/12,610,224 = 12,610,224/x
  3. Step 3: Cross multiply
    8,564,526x = 12,610,224 × 12,610,224
  4. Step 4: Simplify right side
    8,564,526x = 159,017,749,330,176
  5. Step 5: Solve for x
    x = 159,017,749,330,176/8,564,526
  6. Step 6: Final answer
    x = 18,567,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.