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Finding the Third Proportional to 307,431,643.17 and 663,850,443.95

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Solution

The third proportional to 307,431,643.17 and 663,850,443.95 is: 1,433,480,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,431,643.17 : 663,850,443.95 = 663,850,443.95 : x
  2. Step 2: Convert to fraction form
    307,431,643.17/663,850,443.95 = 663,850,443.95/x
  3. Step 3: Cross multiply
    307,431,643.17x = 663,850,443.95 × 663,850,443.95
  4. Step 4: Simplify right side
    307,431,643.17x = 440,697,411,927,659,776
  5. Step 5: Solve for x
    x = 440,697,411,927,659,776/307,431,643.17
  6. Step 6: Final answer
    x = 1,433,480,976.09

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