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Finding the Third Proportional to 307,884,224 and 663,893,440

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Solution

The third proportional to 307,884,224 and 663,893,440 is: 1,431,559,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,884,224 : 663,893,440 = 663,893,440 : x
  2. Step 2: Convert to fraction form
    307,884,224/663,893,440 = 663,893,440/x
  3. Step 3: Cross multiply
    307,884,224x = 663,893,440 × 663,893,440
  4. Step 4: Simplify right side
    307,884,224x = 440,754,499,675,033,600
  5. Step 5: Solve for x
    x = 440,754,499,675,033,600/307,884,224
  6. Step 6: Final answer
    x = 1,431,559,220.37

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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.