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Finding the Third Proportional to 1,233,506,355 and 2,693,049,971

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Solution

The third proportional to 1,233,506,355 and 2,693,049,971 is: 5,879,595,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,506,355 : 2,693,049,971 = 2,693,049,971 : x
  2. Step 2: Convert to fraction form
    1,233,506,355/2,693,049,971 = 2,693,049,971/x
  3. Step 3: Cross multiply
    1,233,506,355x = 2,693,049,971 × 2,693,049,971
  4. Step 4: Simplify right side
    1,233,506,355x = 7,252,518,146,303,100,928
  5. Step 5: Solve for x
    x = 7,252,518,146,303,100,928/1,233,506,355
  6. Step 6: Final answer
    x = 5,879,595,282.91

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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.