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Finding the Third Proportional to 7,303,730 and 11,397,765

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Solution

The third proportional to 7,303,730 and 11,397,765 is: 17,786,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,730 : 11,397,765 = 11,397,765 : x
  2. Step 2: Convert to fraction form
    7,303,730/11,397,765 = 11,397,765/x
  3. Step 3: Cross multiply
    7,303,730x = 11,397,765 × 11,397,765
  4. Step 4: Simplify right side
    7,303,730x = 129,909,046,995,225
  5. Step 5: Solve for x
    x = 129,909,046,995,225/7,303,730
  6. Step 6: Final answer
    x = 17,786,671.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.