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Finding the Third Proportional to 721,974,114 and 1,582,355,396

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Solution

The third proportional to 721,974,114 and 1,582,355,396 is: 3,468,058,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,974,114 : 1,582,355,396 = 1,582,355,396 : x
  2. Step 2: Convert to fraction form
    721,974,114/1,582,355,396 = 1,582,355,396/x
  3. Step 3: Cross multiply
    721,974,114x = 1,582,355,396 × 1,582,355,396
  4. Step 4: Simplify right side
    721,974,114x = 2,503,848,599,250,316,800
  5. Step 5: Solve for x
    x = 2,503,848,599,250,316,800/721,974,114
  6. Step 6: Final answer
    x = 3,468,058,688.94

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Why These Related Problems?

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