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Finding the Third Proportional to 9,336,958,496 and 20,164,710,632

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Solution

The third proportional to 9,336,958,496 and 20,164,710,632 is: 43,549,037,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336,958,496 : 20,164,710,632 = 20,164,710,632 : x
  2. Step 2: Convert to fraction form
    9,336,958,496/20,164,710,632 = 20,164,710,632/x
  3. Step 3: Cross multiply
    9,336,958,496x = 20,164,710,632 × 20,164,710,632
  4. Step 4: Simplify right side
    9,336,958,496x = 406,615,554,872,293,851,136
  5. Step 5: Solve for x
    x = 406,615,554,872,293,851,136/9,336,958,496
  6. Step 6: Final answer
    x = 43,549,037,413.68

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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.