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Finding the Third Proportional to 805,139,052 and 1,761,023,316

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Solution

The third proportional to 805,139,052 and 1,761,023,316 is: 3,851,760,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,139,052 : 1,761,023,316 = 1,761,023,316 : x
  2. Step 2: Convert to fraction form
    805,139,052/1,761,023,316 = 1,761,023,316/x
  3. Step 3: Cross multiply
    805,139,052x = 1,761,023,316 × 1,761,023,316
  4. Step 4: Simplify right side
    805,139,052x = 3,101,203,119,495,635,968
  5. Step 5: Solve for x
    x = 3,101,203,119,495,635,968/805,139,052
  6. Step 6: Final answer
    x = 3,851,760,899.92

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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.