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Finding the Third Proportional to 942,779,314 and 2,048,761,316

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Solution

The third proportional to 942,779,314 and 2,048,761,316 is: 4,452,179,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,779,314 : 2,048,761,316 = 2,048,761,316 : x
  2. Step 2: Convert to fraction form
    942,779,314/2,048,761,316 = 2,048,761,316/x
  3. Step 3: Cross multiply
    942,779,314x = 2,048,761,316 × 2,048,761,316
  4. Step 4: Simplify right side
    942,779,314x = 4,197,422,929,938,052,096
  5. Step 5: Solve for x
    x = 4,197,422,929,938,052,096/942,779,314
  6. Step 6: Final answer
    x = 4,452,179,706.97

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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.