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Finding the Third Proportional to 2,183,135,904 and 4,748,779,791

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Solution

The third proportional to 2,183,135,904 and 4,748,779,791 is: 10,329,594,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,135,904 : 4,748,779,791 = 4,748,779,791 : x
  2. Step 2: Convert to fraction form
    2,183,135,904/4,748,779,791 = 4,748,779,791/x
  3. Step 3: Cross multiply
    2,183,135,904x = 4,748,779,791 × 4,748,779,791
  4. Step 4: Simplify right side
    2,183,135,904x = 22,550,909,503,410,003,968
  5. Step 5: Solve for x
    x = 22,550,909,503,410,003,968/2,183,135,904
  6. Step 6: Final answer
    x = 10,329,594,901.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.