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Finding the Third Proportional to 46,054,366 and 99,282,822

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Solution

The third proportional to 46,054,366 and 99,282,822 is: 214,031,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,054,366 : 99,282,822 = 99,282,822 : x
  2. Step 2: Convert to fraction form
    46,054,366/99,282,822 = 99,282,822/x
  3. Step 3: Cross multiply
    46,054,366x = 99,282,822 × 99,282,822
  4. Step 4: Simplify right side
    46,054,366x = 9,857,078,744,283,684
  5. Step 5: Solve for x
    x = 9,857,078,744,283,684/46,054,366
  6. Step 6: Final answer
    x = 214,031,363.37

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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.