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Finding the Third Proportional to 8,584,768 and 11,617,440

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Solution

The third proportional to 8,584,768 and 11,617,440 is: 15,721,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,768 : 11,617,440 = 11,617,440 : x
  2. Step 2: Convert to fraction form
    8,584,768/11,617,440 = 11,617,440/x
  3. Step 3: Cross multiply
    8,584,768x = 11,617,440 × 11,617,440
  4. Step 4: Simplify right side
    8,584,768x = 134,964,912,153,600
  5. Step 5: Solve for x
    x = 134,964,912,153,600/8,584,768
  6. Step 6: Final answer
    x = 15,721,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.