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Finding the Third Proportional to 5,349,192 and 10,430,354.50

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Solution

The third proportional to 5,349,192 and 10,430,354.50 is: 20,338,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349,192 : 10,430,354.50 = 10,430,354.50 : x
  2. Step 2: Convert to fraction form
    5,349,192/10,430,354.50 = 10,430,354.50/x
  3. Step 3: Cross multiply
    5,349,192x = 10,430,354.50 × 10,430,354.50
  4. Step 4: Simplify right side
    5,349,192x = 108,792,294,995,670.25
  5. Step 5: Solve for x
    x = 108,792,294,995,670.25/5,349,192
  6. Step 6: Final answer
    x = 20,338,080.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.