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Finding the Third Proportional to 1,334,425,046 and 2,779,298,149

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Solution

The third proportional to 1,334,425,046 and 2,779,298,149 is: 5,788,634,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334,425,046 : 2,779,298,149 = 2,779,298,149 : x
  2. Step 2: Convert to fraction form
    1,334,425,046/2,779,298,149 = 2,779,298,149/x
  3. Step 3: Cross multiply
    1,334,425,046x = 2,779,298,149 × 2,779,298,149
  4. Step 4: Simplify right side
    1,334,425,046x = 7,724,498,201,034,825,728
  5. Step 5: Solve for x
    x = 7,724,498,201,034,825,728/1,334,425,046
  6. Step 6: Final answer
    x = 5,788,634,006.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.