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Finding the Third Proportional to 10,382,818 and 22,362,378

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Solution

The third proportional to 10,382,818 and 22,362,378 is: 48,163,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382,818 : 22,362,378 = 22,362,378 : x
  2. Step 2: Convert to fraction form
    10,382,818/22,362,378 = 22,362,378/x
  3. Step 3: Cross multiply
    10,382,818x = 22,362,378 × 22,362,378
  4. Step 4: Simplify right side
    10,382,818x = 500,075,949,814,884
  5. Step 5: Solve for x
    x = 500,075,949,814,884/10,382,818
  6. Step 6: Final answer
    x = 48,163,798.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.