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Finding the Third Proportional to 2,183,135,921 and 4,748,779,827

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Solution

The third proportional to 2,183,135,921 and 4,748,779,827 is: 10,329,594,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,135,921 : 4,748,779,827 = 4,748,779,827 : x
  2. Step 2: Convert to fraction form
    2,183,135,921/4,748,779,827 = 4,748,779,827/x
  3. Step 3: Cross multiply
    2,183,135,921x = 4,748,779,827 × 4,748,779,827
  4. Step 4: Simplify right side
    2,183,135,921x = 22,550,909,845,322,149,888
  5. Step 5: Solve for x
    x = 22,550,909,845,322,149,888/2,183,135,921
  6. Step 6: Final answer
    x = 10,329,594,977.76

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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.