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Finding the Third Proportional to 7,038,513 and 15,422,395.50

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Solution

The third proportional to 7,038,513 and 15,422,395.50 is: 33,792,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038,513 : 15,422,395.50 = 15,422,395.50 : x
  2. Step 2: Convert to fraction form
    7,038,513/15,422,395.50 = 15,422,395.50/x
  3. Step 3: Cross multiply
    7,038,513x = 15,422,395.50 × 15,422,395.50
  4. Step 4: Simplify right side
    7,038,513x = 237,850,282,958,420.25
  5. Step 5: Solve for x
    x = 237,850,282,958,420.25/7,038,513
  6. Step 6: Final answer
    x = 33,792,689.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.