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Finding the Third Proportional to 227,173,789,548 and 485,859,879,360

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Solution

The third proportional to 227,173,789,548 and 485,859,879,360 is: 1,039,115,572,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,173,789,548 : 485,859,879,360 = 485,859,879,360 : x
  2. Step 2: Convert to fraction form
    227,173,789,548/485,859,879,360 = 485,859,879,360/x
  3. Step 3: Cross multiply
    227,173,789,548x = 485,859,879,360 × 485,859,879,360
  4. Step 4: Simplify right side
    227,173,789,548x = 236,059,822,371,713,767,702,528
  5. Step 5: Solve for x
    x = 236,059,822,371,713,767,702,528/227,173,789,548
  6. Step 6: Final answer
    x = 1,039,115,572,449.59

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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.