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Finding the Third Proportional to 7,280,071 and 15,676,430

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Solution

The third proportional to 7,280,071 and 15,676,430 is: 33,756,601.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280,071 : 15,676,430 = 15,676,430 : x
  2. Step 2: Convert to fraction form
    7,280,071/15,676,430 = 15,676,430/x
  3. Step 3: Cross multiply
    7,280,071x = 15,676,430 × 15,676,430
  4. Step 4: Simplify right side
    7,280,071x = 245,750,457,544,900
  5. Step 5: Solve for x
    x = 245,750,457,544,900/7,280,071
  6. Step 6: Final answer
    x = 33,756,601.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.