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Finding the Third Proportional to 738,855,224 and 1,606,315,888

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Solution

The third proportional to 738,855,224 and 1,606,315,888 is: 3,492,227,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,855,224 : 1,606,315,888 = 1,606,315,888 : x
  2. Step 2: Convert to fraction form
    738,855,224/1,606,315,888 = 1,606,315,888/x
  3. Step 3: Cross multiply
    738,855,224x = 1,606,315,888 × 1,606,315,888
  4. Step 4: Simplify right side
    738,855,224x = 2,580,250,732,041,228,288
  5. Step 5: Solve for x
    x = 2,580,250,732,041,228,288/738,855,224
  6. Step 6: Final answer
    x = 3,492,227,771.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.