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Finding the Third Proportional to 1,627,300,449 and 3,532,013,464.50

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Solution

The third proportional to 1,627,300,449 and 3,532,013,464.50 is: 7,666,143,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627,300,449 : 3,532,013,464.50 = 3,532,013,464.50 : x
  2. Step 2: Convert to fraction form
    1,627,300,449/3,532,013,464.50 = 3,532,013,464.50/x
  3. Step 3: Cross multiply
    1,627,300,449x = 3,532,013,464.50 × 3,532,013,464.50
  4. Step 4: Simplify right side
    1,627,300,449x = 12,475,119,113,409,292,288
  5. Step 5: Solve for x
    x = 12,475,119,113,409,292,288/1,627,300,449
  6. Step 6: Final answer
    x = 7,666,143,717.39

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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.