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Finding the Third Proportional to 4,283,784 and 9,009,340

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Solution

The third proportional to 4,283,784 and 9,009,340 is: 18,947,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283,784 : 9,009,340 = 9,009,340 : x
  2. Step 2: Convert to fraction form
    4,283,784/9,009,340 = 9,009,340/x
  3. Step 3: Cross multiply
    4,283,784x = 9,009,340 × 9,009,340
  4. Step 4: Simplify right side
    4,283,784x = 81,168,207,235,600
  5. Step 5: Solve for x
    x = 81,168,207,235,600/4,283,784
  6. Step 6: Final answer
    x = 18,947,782.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.