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Finding the Third Proportional to 7,798,970 and 16,831,034

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Solution

The third proportional to 7,798,970 and 16,831,034 is: 36,323,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798,970 : 16,831,034 = 16,831,034 : x
  2. Step 2: Convert to fraction form
    7,798,970/16,831,034 = 16,831,034/x
  3. Step 3: Cross multiply
    7,798,970x = 16,831,034 × 16,831,034
  4. Step 4: Simplify right side
    7,798,970x = 283,283,705,509,156
  5. Step 5: Solve for x
    x = 283,283,705,509,156/7,798,970
  6. Step 6: Final answer
    x = 36,323,220.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.