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Finding the Third Proportional to 2,235,304,950 and 4,702,254,996

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Solution

The third proportional to 2,235,304,950 and 4,702,254,996 is: 9,891,805,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,304,950 : 4,702,254,996 = 4,702,254,996 : x
  2. Step 2: Convert to fraction form
    2,235,304,950/4,702,254,996 = 4,702,254,996/x
  3. Step 3: Cross multiply
    2,235,304,950x = 4,702,254,996 × 4,702,254,996
  4. Step 4: Simplify right side
    2,235,304,950x = 22,111,202,047,406,960,640
  5. Step 5: Solve for x
    x = 22,111,202,047,406,960,640/2,235,304,950
  6. Step 6: Final answer
    x = 9,891,805,611.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.