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Finding the Third Proportional to 2,047,225,428 and 4,420,666,935

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Solution

The third proportional to 2,047,225,428 and 4,420,666,935 is: 9,545,747,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,225,428 : 4,420,666,935 = 4,420,666,935 : x
  2. Step 2: Convert to fraction form
    2,047,225,428/4,420,666,935 = 4,420,666,935/x
  3. Step 3: Cross multiply
    2,047,225,428x = 4,420,666,935 × 4,420,666,935
  4. Step 4: Simplify right side
    2,047,225,428x = 19,542,296,150,202,294,272
  5. Step 5: Solve for x
    x = 19,542,296,150,202,294,272/2,047,225,428
  6. Step 6: Final answer
    x = 9,545,747,079.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.