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Finding the Third Proportional to 3,318,255,306 and 7,109,813,871

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Solution

The third proportional to 3,318,255,306 and 7,109,813,871 is: 15,233,744,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318,255,306 : 7,109,813,871 = 7,109,813,871 : x
  2. Step 2: Convert to fraction form
    3,318,255,306/7,109,813,871 = 7,109,813,871/x
  3. Step 3: Cross multiply
    3,318,255,306x = 7,109,813,871 × 7,109,813,871
  4. Step 4: Simplify right side
    3,318,255,306x = 50,549,453,280,264,003,584
  5. Step 5: Solve for x
    x = 50,549,453,280,264,003,584/3,318,255,306
  6. Step 6: Final answer
    x = 15,233,744,428.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.