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Finding the Third Proportional to 1,490,897,325 and 3,243,591,671

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Solution

The third proportional to 1,490,897,325 and 3,243,591,671 is: 7,056,748,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490,897,325 : 3,243,591,671 = 3,243,591,671 : x
  2. Step 2: Convert to fraction form
    1,490,897,325/3,243,591,671 = 3,243,591,671/x
  3. Step 3: Cross multiply
    1,490,897,325x = 3,243,591,671 × 3,243,591,671
  4. Step 4: Simplify right side
    1,490,897,325x = 10,520,886,928,180,572,160
  5. Step 5: Solve for x
    x = 10,520,886,928,180,572,160/1,490,897,325
  6. Step 6: Final answer
    x = 7,056,748,142.05

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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.