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Finding the Third Proportional to 212,716,629 and 462,702,816

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Solution

The third proportional to 212,716,629 and 462,702,816 is: 1,006,474,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716,629 : 462,702,816 = 462,702,816 : x
  2. Step 2: Convert to fraction form
    212,716,629/462,702,816 = 462,702,816/x
  3. Step 3: Cross multiply
    212,716,629x = 462,702,816 × 462,702,816
  4. Step 4: Simplify right side
    212,716,629x = 214,093,895,934,329,856
  5. Step 5: Solve for x
    x = 214,093,895,934,329,856/212,716,629
  6. Step 6: Final answer
    x = 1,006,474,655.70

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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.