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Finding the Third Proportional to 5,303,832,294 and 11,549,311,616

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Solution

The third proportional to 5,303,832,294 and 11,549,311,616 is: 25,149,098,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,832,294 : 11,549,311,616 = 11,549,311,616 : x
  2. Step 2: Convert to fraction form
    5,303,832,294/11,549,311,616 = 11,549,311,616/x
  3. Step 3: Cross multiply
    5,303,832,294x = 11,549,311,616 × 11,549,311,616
  4. Step 4: Simplify right side
    5,303,832,294x = 133,386,598,803,472,531,456
  5. Step 5: Solve for x
    x = 133,386,598,803,472,531,456/5,303,832,294
  6. Step 6: Final answer
    x = 25,149,098,125.59

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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.