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Finding the Third Proportional to 2,473,118,022 and 5,333,645,586

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Solution

The third proportional to 2,473,118,022 and 5,333,645,586 is: 11,502,797,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473,118,022 : 5,333,645,586 = 5,333,645,586 : x
  2. Step 2: Convert to fraction form
    2,473,118,022/5,333,645,586 = 5,333,645,586/x
  3. Step 3: Cross multiply
    2,473,118,022x = 5,333,645,586 × 5,333,645,586
  4. Step 4: Simplify right side
    2,473,118,022x = 28,447,775,237,057,282,048
  5. Step 5: Solve for x
    x = 28,447,775,237,057,282,048/2,473,118,022
  6. Step 6: Final answer
    x = 11,502,797,272.11

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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.