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Finding the Third Proportional to 482,559,927 and 1,041,647,295

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Solution

The third proportional to 482,559,927 and 1,041,647,295 is: 2,248,485,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,559,927 : 1,041,647,295 = 1,041,647,295 : x
  2. Step 2: Convert to fraction form
    482,559,927/1,041,647,295 = 1,041,647,295/x
  3. Step 3: Cross multiply
    482,559,927x = 1,041,647,295 × 1,041,647,295
  4. Step 4: Simplify right side
    482,559,927x = 1,085,029,087,180,817,024
  5. Step 5: Solve for x
    x = 1,085,029,087,180,817,024/482,559,927
  6. Step 6: Final answer
    x = 2,248,485,683.27

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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.