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Finding the Third Proportional to 5,041,430 and 7,749,033

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Solution

The third proportional to 5,041,430 and 7,749,033 is: 11,910,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041,430 : 7,749,033 = 7,749,033 : x
  2. Step 2: Convert to fraction form
    5,041,430/7,749,033 = 7,749,033/x
  3. Step 3: Cross multiply
    5,041,430x = 7,749,033 × 7,749,033
  4. Step 4: Simplify right side
    5,041,430x = 60,047,512,435,089
  5. Step 5: Solve for x
    x = 60,047,512,435,089/5,041,430
  6. Step 6: Final answer
    x = 11,910,809.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.