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Finding the Third Proportional to 283,870,279,225.12 and 610,794,728,130.40

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Solution

The third proportional to 283,870,279,225.12 and 610,794,728,130.40 is: 1,314,227,755,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,870,279,225.12 : 610,794,728,130.40 = 610,794,728,130.40 : x
  2. Step 2: Convert to fraction form
    283,870,279,225.12/610,794,728,130.40 = 610,794,728,130.40/x
  3. Step 3: Cross multiply
    283,870,279,225.12x = 610,794,728,130.40 × 610,794,728,130.40
  4. Step 4: Simplify right side
    283,870,279,225.12x = 373,070,199,911,889,290,395,648
  5. Step 5: Solve for x
    x = 373,070,199,911,889,290,395,648/283,870,279,225.12
  6. Step 6: Final answer
    x = 1,314,227,755,474.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.