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Finding the Third Proportional to 7,970,148 and 16,507,413

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Solution

The third proportional to 7,970,148 and 16,507,413 is: 34,189,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,148 : 16,507,413 = 16,507,413 : x
  2. Step 2: Convert to fraction form
    7,970,148/16,507,413 = 16,507,413/x
  3. Step 3: Cross multiply
    7,970,148x = 16,507,413 × 16,507,413
  4. Step 4: Simplify right side
    7,970,148x = 272,494,683,952,569
  5. Step 5: Solve for x
    x = 272,494,683,952,569/7,970,148
  6. Step 6: Final answer
    x = 34,189,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.