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Finding the Third Proportional to 4,670,294,816 and 10,153,503,040

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Solution

The third proportional to 4,670,294,816 and 10,153,503,040 is: 22,074,328,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670,294,816 : 10,153,503,040 = 10,153,503,040 : x
  2. Step 2: Convert to fraction form
    4,670,294,816/10,153,503,040 = 10,153,503,040/x
  3. Step 3: Cross multiply
    4,670,294,816x = 10,153,503,040 × 10,153,503,040
  4. Step 4: Simplify right side
    4,670,294,816x = 103,093,623,983,289,237,504
  5. Step 5: Solve for x
    x = 103,093,623,983,289,237,504/4,670,294,816
  6. Step 6: Final answer
    x = 22,074,328,933.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.