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Finding the Third Proportional to 1,569,450,693 and 3,364,235,646

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Solution

The third proportional to 1,569,450,693 and 3,364,235,646 is: 7,211,492,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,450,693 : 3,364,235,646 = 3,364,235,646 : x
  2. Step 2: Convert to fraction form
    1,569,450,693/3,364,235,646 = 3,364,235,646/x
  3. Step 3: Cross multiply
    1,569,450,693x = 3,364,235,646 × 3,364,235,646
  4. Step 4: Simplify right side
    1,569,450,693x = 11,318,081,481,817,036,800
  5. Step 5: Solve for x
    x = 11,318,081,481,817,036,800/1,569,450,693
  6. Step 6: Final answer
    x = 7,211,492,232.47

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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.