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Finding the Third Proportional to 2,651,916,146 and 5,774,655,806

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Solution

The third proportional to 2,651,916,146 and 5,774,655,806 is: 12,574,549,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,916,146 : 5,774,655,806 = 5,774,655,806 : x
  2. Step 2: Convert to fraction form
    2,651,916,146/5,774,655,806 = 5,774,655,806/x
  3. Step 3: Cross multiply
    2,651,916,146x = 5,774,655,806 × 5,774,655,806
  4. Step 4: Simplify right side
    2,651,916,146x = 33,346,649,677,769,510,912
  5. Step 5: Solve for x
    x = 33,346,649,677,769,510,912/2,651,916,146
  6. Step 6: Final answer
    x = 12,574,549,058.83

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