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Finding the Third Proportional to 2,330,516,320 and 4,993,448,640

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Solution

The third proportional to 2,330,516,320 and 4,993,448,640 is: 10,699,143,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,516,320 : 4,993,448,640 = 4,993,448,640 : x
  2. Step 2: Convert to fraction form
    2,330,516,320/4,993,448,640 = 4,993,448,640/x
  3. Step 3: Cross multiply
    2,330,516,320x = 4,993,448,640 × 4,993,448,640
  4. Step 4: Simplify right side
    2,330,516,320x = 24,934,529,320,317,849,600
  5. Step 5: Solve for x
    x = 24,934,529,320,317,849,600/2,330,516,320
  6. Step 6: Final answer
    x = 10,699,143,836.21

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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.