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Finding the Third Proportional to 4,822,596 and 10,402,368

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Solution

The third proportional to 4,822,596 and 10,402,368 is: 22,437,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,596 : 10,402,368 = 10,402,368 : x
  2. Step 2: Convert to fraction form
    4,822,596/10,402,368 = 10,402,368/x
  3. Step 3: Cross multiply
    4,822,596x = 10,402,368 × 10,402,368
  4. Step 4: Simplify right side
    4,822,596x = 108,209,260,007,424
  5. Step 5: Solve for x
    x = 108,209,260,007,424/4,822,596
  6. Step 6: Final answer
    x = 22,437,969.10

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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.