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Finding the Third Proportional to 2,243,216,064 and 4,908,593,116

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Solution

The third proportional to 2,243,216,064 and 4,908,593,116 is: 10,740,956,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,216,064 : 4,908,593,116 = 4,908,593,116 : x
  2. Step 2: Convert to fraction form
    2,243,216,064/4,908,593,116 = 4,908,593,116/x
  3. Step 3: Cross multiply
    2,243,216,064x = 4,908,593,116 × 4,908,593,116
  4. Step 4: Simplify right side
    2,243,216,064x = 24,094,286,378,442,588,160
  5. Step 5: Solve for x
    x = 24,094,286,378,442,588,160/2,243,216,064
  6. Step 6: Final answer
    x = 10,740,956,595.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.