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Finding the Third Proportional to 653,028,748 and 1,420,843,768

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Solution

The third proportional to 653,028,748 and 1,420,843,768 is: 3,091,436,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,028,748 : 1,420,843,768 = 1,420,843,768 : x
  2. Step 2: Convert to fraction form
    653,028,748/1,420,843,768 = 1,420,843,768/x
  3. Step 3: Cross multiply
    653,028,748x = 1,420,843,768 × 1,420,843,768
  4. Step 4: Simplify right side
    653,028,748x = 2,018,797,013,064,437,760
  5. Step 5: Solve for x
    x = 2,018,797,013,064,437,760/653,028,748
  6. Step 6: Final answer
    x = 3,091,436,662.24

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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.