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Finding the Third Proportional to 4,304,350,713,015 and 9,486,065,187,144

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Solution

The third proportional to 4,304,350,713,015 and 9,486,065,187,144 is: 20,905,692,573,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304,350,713,015 : 9,486,065,187,144 = 9,486,065,187,144 : x
  2. Step 2: Convert to fraction form
    4,304,350,713,015/9,486,065,187,144 = 9,486,065,187,144/x
  3. Step 3: Cross multiply
    4,304,350,713,015x = 9,486,065,187,144 × 9,486,065,187,144
  4. Step 4: Simplify right side
    4,304,350,713,015x = 89,985,432,734,745,325,127,860,224
  5. Step 5: Solve for x
    x = 89,985,432,734,745,325,127,860,224/4,304,350,713,015
  6. Step 6: Final answer
    x = 20,905,692,573,483.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.