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Finding the Third Proportional to 9,870,768 and 22,848,648

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Solution

The third proportional to 9,870,768 and 22,848,648 is: 52,889,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,768 : 22,848,648 = 22,848,648 : x
  2. Step 2: Convert to fraction form
    9,870,768/22,848,648 = 22,848,648/x
  3. Step 3: Cross multiply
    9,870,768x = 22,848,648 × 22,848,648
  4. Step 4: Simplify right side
    9,870,768x = 522,060,715,427,904
  5. Step 5: Solve for x
    x = 522,060,715,427,904/9,870,768
  6. Step 6: Final answer
    x = 52,889,574.09

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.