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Finding the Third Proportional to 8,564,624 and 12,610,336

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Solution

The third proportional to 8,564,624 and 12,610,336 is: 18,567,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564,624 : 12,610,336 = 12,610,336 : x
  2. Step 2: Convert to fraction form
    8,564,624/12,610,336 = 12,610,336/x
  3. Step 3: Cross multiply
    8,564,624x = 12,610,336 × 12,610,336
  4. Step 4: Simplify right side
    8,564,624x = 159,020,574,032,896
  5. Step 5: Solve for x
    x = 159,020,574,032,896/8,564,624
  6. Step 6: Final answer
    x = 18,567,140.14

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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.