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Finding the Third Proportional to 5,303,832,293 and 11,549,311,613

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Solution

The third proportional to 5,303,832,293 and 11,549,311,613 is: 25,149,098,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,832,293 : 11,549,311,613 = 11,549,311,613 : x
  2. Step 2: Convert to fraction form
    5,303,832,293/11,549,311,613 = 11,549,311,613/x
  3. Step 3: Cross multiply
    5,303,832,293x = 11,549,311,613 × 11,549,311,613
  4. Step 4: Simplify right side
    5,303,832,293x = 133,386,598,734,176,665,600
  5. Step 5: Solve for x
    x = 133,386,598,734,176,665,600/5,303,832,293
  6. Step 6: Final answer
    x = 25,149,098,117.27

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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.