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Finding the Third Proportional to 2,243,164,596 and 4,881,322,683

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Solution

The third proportional to 2,243,164,596 and 4,881,322,683 is: 10,622,185,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,164,596 : 4,881,322,683 = 4,881,322,683 : x
  2. Step 2: Convert to fraction form
    2,243,164,596/4,881,322,683 = 4,881,322,683/x
  3. Step 3: Cross multiply
    2,243,164,596x = 4,881,322,683 × 4,881,322,683
  4. Step 4: Simplify right side
    2,243,164,596x = 23,827,311,135,570,317,312
  5. Step 5: Solve for x
    x = 23,827,311,135,570,317,312/2,243,164,596
  6. Step 6: Final answer
    x = 10,622,185,807.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.