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Finding the Third Proportional to 5,770,683 and 9,005,395.50

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Solution

The third proportional to 5,770,683 and 9,005,395.50 is: 14,053,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,683 : 9,005,395.50 = 9,005,395.50 : x
  2. Step 2: Convert to fraction form
    5,770,683/9,005,395.50 = 9,005,395.50/x
  3. Step 3: Cross multiply
    5,770,683x = 9,005,395.50 × 9,005,395.50
  4. Step 4: Simplify right side
    5,770,683x = 81,097,148,111,420.25
  5. Step 5: Solve for x
    x = 81,097,148,111,420.25/5,770,683
  6. Step 6: Final answer
    x = 14,053,301.51

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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.