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Finding the Third Proportional to 721,974,116.95 and 1,582,355,399.34

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Solution

The third proportional to 721,974,116.95 and 1,582,355,399.34 is: 3,468,058,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,974,116.95 : 1,582,355,399.34 = 1,582,355,399.34 : x
  2. Step 2: Convert to fraction form
    721,974,116.95/1,582,355,399.34 = 1,582,355,399.34/x
  3. Step 3: Cross multiply
    721,974,116.95x = 1,582,355,399.34 × 1,582,355,399.34
  4. Step 4: Simplify right side
    721,974,116.95x = 2,503,848,609,832,477,184
  5. Step 5: Solve for x
    x = 2,503,848,609,832,477,184/721,974,116.95
  6. Step 6: Final answer
    x = 3,468,058,689.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.