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Finding the Third Proportional to 2,331,269,064 and 4,756,185,000

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Solution

The third proportional to 2,331,269,064 and 4,756,185,000 is: 9,703,425,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,269,064 : 4,756,185,000 = 4,756,185,000 : x
  2. Step 2: Convert to fraction form
    2,331,269,064/4,756,185,000 = 4,756,185,000/x
  3. Step 3: Cross multiply
    2,331,269,064x = 4,756,185,000 × 4,756,185,000
  4. Step 4: Simplify right side
    2,331,269,064x = 22,621,295,754,225,000,448
  5. Step 5: Solve for x
    x = 22,621,295,754,225,000,448/2,331,269,064
  6. Step 6: Final answer
    x = 9,703,425,530.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.