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Finding the Third Proportional to 1,569,450,690 and 3,364,235,640

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Solution

The third proportional to 1,569,450,690 and 3,364,235,640 is: 7,211,492,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,450,690 : 3,364,235,640 = 3,364,235,640 : x
  2. Step 2: Convert to fraction form
    1,569,450,690/3,364,235,640 = 3,364,235,640/x
  3. Step 3: Cross multiply
    1,569,450,690x = 3,364,235,640 × 3,364,235,640
  4. Step 4: Simplify right side
    1,569,450,690x = 11,318,081,441,446,209,536
  5. Step 5: Solve for x
    x = 11,318,081,441,446,209,536/1,569,450,690
  6. Step 6: Final answer
    x = 7,211,492,220.53

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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.