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Finding the Third Proportional to 6,852,420 and 9,641,178

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Solution

The third proportional to 6,852,420 and 9,641,178 is: 13,564,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852,420 : 9,641,178 = 9,641,178 : x
  2. Step 2: Convert to fraction form
    6,852,420/9,641,178 = 9,641,178/x
  3. Step 3: Cross multiply
    6,852,420x = 9,641,178 × 9,641,178
  4. Step 4: Simplify right side
    6,852,420x = 92,952,313,227,684
  5. Step 5: Solve for x
    x = 92,952,313,227,684/6,852,420
  6. Step 6: Final answer
    x = 13,564,888.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.