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Finding the Third Proportional to 1,337,018,064 and 2,932,316,832

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Solution

The third proportional to 1,337,018,064 and 2,932,316,832 is: 6,431,088,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,018,064 : 2,932,316,832 = 2,932,316,832 : x
  2. Step 2: Convert to fraction form
    1,337,018,064/2,932,316,832 = 2,932,316,832/x
  3. Step 3: Cross multiply
    1,337,018,064x = 2,932,316,832 × 2,932,316,832
  4. Step 4: Simplify right side
    1,337,018,064x = 8,598,482,003,230,516,224
  5. Step 5: Solve for x
    x = 8,598,482,003,230,516,224/1,337,018,064
  6. Step 6: Final answer
    x = 6,431,088,879.61

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