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Finding the Third Proportional to 942,779,318 and 2,048,761,324

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Solution

The third proportional to 942,779,318 and 2,048,761,324 is: 4,452,179,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,779,318 : 2,048,761,324 = 2,048,761,324 : x
  2. Step 2: Convert to fraction form
    942,779,318/2,048,761,324 = 2,048,761,324/x
  3. Step 3: Cross multiply
    942,779,318x = 2,048,761,324 × 2,048,761,324
  4. Step 4: Simplify right side
    942,779,318x = 4,197,422,962,718,233,088
  5. Step 5: Solve for x
    x = 4,197,422,962,718,233,088/942,779,318
  6. Step 6: Final answer
    x = 4,452,179,722.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.