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Finding the Third Proportional to 653,028,000 and 1,420,842,576

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Solution

The third proportional to 653,028,000 and 1,420,842,576 is: 3,091,435,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,028,000 : 1,420,842,576 = 1,420,842,576 : x
  2. Step 2: Convert to fraction form
    653,028,000/1,420,842,576 = 1,420,842,576/x
  3. Step 3: Cross multiply
    653,028,000x = 1,420,842,576 × 1,420,842,576
  4. Step 4: Simplify right side
    653,028,000x = 2,018,793,625,774,315,776
  5. Step 5: Solve for x
    x = 2,018,793,625,774,315,776/653,028,000
  6. Step 6: Final answer
    x = 3,091,435,016.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.