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Finding the Third Proportional to 7,843,729 and 16,822,101

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Solution

The third proportional to 7,843,729 and 16,822,101 is: 36,077,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,729 : 16,822,101 = 16,822,101 : x
  2. Step 2: Convert to fraction form
    7,843,729/16,822,101 = 16,822,101/x
  3. Step 3: Cross multiply
    7,843,729x = 16,822,101 × 16,822,101
  4. Step 4: Simplify right side
    7,843,729x = 282,983,082,054,201
  5. Step 5: Solve for x
    x = 282,983,082,054,201/7,843,729
  6. Step 6: Final answer
    x = 36,077,621.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.