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Finding the Third Proportional to 2,235,304,948 and 4,702,254,992

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Solution

The third proportional to 2,235,304,948 and 4,702,254,992 is: 9,891,805,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,304,948 : 4,702,254,992 = 4,702,254,992 : x
  2. Step 2: Convert to fraction form
    2,235,304,948/4,702,254,992 = 4,702,254,992/x
  3. Step 3: Cross multiply
    2,235,304,948x = 4,702,254,992 × 4,702,254,992
  4. Step 4: Simplify right side
    2,235,304,948x = 22,111,202,009,788,919,808
  5. Step 5: Solve for x
    x = 22,111,202,009,788,919,808/2,235,304,948
  6. Step 6: Final answer
    x = 9,891,805,603.34

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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.