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Finding the Third Proportional to 566,234,281,922.10 and 1,242,094,437,526.10

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Solution

The third proportional to 566,234,281,922.10 and 1,242,094,437,526.10 is: 2,724,664,756,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,234,281,922.10 : 1,242,094,437,526.10 = 1,242,094,437,526.10 : x
  2. Step 2: Convert to fraction form
    566,234,281,922.10/1,242,094,437,526.10 = 1,242,094,437,526.10/x
  3. Step 3: Cross multiply
    566,234,281,922.10x = 1,242,094,437,526.10 × 1,242,094,437,526.10
  4. Step 4: Simplify right side
    566,234,281,922.10x = 1,542,798,591,733,279,099,977,728
  5. Step 5: Solve for x
    x = 1,542,798,591,733,279,099,977,728/566,234,281,922.10
  6. Step 6: Final answer
    x = 2,724,664,756,249.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.