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Finding the Third Proportional to 558,055,010 and 1,303,453,463

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Solution

The third proportional to 558,055,010 and 1,303,453,463 is: 3,044,486,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,055,010 : 1,303,453,463 = 1,303,453,463 : x
  2. Step 2: Convert to fraction form
    558,055,010/1,303,453,463 = 1,303,453,463/x
  3. Step 3: Cross multiply
    558,055,010x = 1,303,453,463 × 1,303,453,463
  4. Step 4: Simplify right side
    558,055,010x = 1,698,990,930,206,692,352
  5. Step 5: Solve for x
    x = 1,698,990,930,206,692,352/558,055,010
  6. Step 6: Final answer
    x = 3,044,486,474.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.