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Finding the Third Proportional to 3,056,427,249 and 4,587,875,883

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Solution

The third proportional to 3,056,427,249 and 4,587,875,883 is: 6,886,669,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,427,249 : 4,587,875,883 = 4,587,875,883 : x
  2. Step 2: Convert to fraction form
    3,056,427,249/4,587,875,883 = 4,587,875,883/x
  3. Step 3: Cross multiply
    3,056,427,249x = 4,587,875,883 × 4,587,875,883
  4. Step 4: Simplify right side
    3,056,427,249x = 21,048,605,117,813,030,912
  5. Step 5: Solve for x
    x = 21,048,605,117,813,030,912/3,056,427,249
  6. Step 6: Final answer
    x = 6,886,669,762.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.