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Finding the Third Proportional to 2,131,318,642,068 and 4,602,332,512,224

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Solution

The third proportional to 2,131,318,642,068 and 4,602,332,512,224 is: 9,938,197,008,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,318,642,068 : 4,602,332,512,224 = 4,602,332,512,224 : x
  2. Step 2: Convert to fraction form
    2,131,318,642,068/4,602,332,512,224 = 4,602,332,512,224/x
  3. Step 3: Cross multiply
    2,131,318,642,068x = 4,602,332,512,224 × 4,602,332,512,224
  4. Step 4: Simplify right side
    2,131,318,642,068x = 21,181,464,553,074,075,533,049,856
  5. Step 5: Solve for x
    x = 21,181,464,553,074,075,533,049,856/2,131,318,642,068
  6. Step 6: Final answer
    x = 9,938,197,008,647.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.