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Finding the Third Proportional to 1,520,782,610,260 and 3,222,878,009,372

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Solution

The third proportional to 1,520,782,610,260 and 3,222,878,009,372 is: 6,829,998,313,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,782,610,260 : 3,222,878,009,372 = 3,222,878,009,372 : x
  2. Step 2: Convert to fraction form
    1,520,782,610,260/3,222,878,009,372 = 3,222,878,009,372/x
  3. Step 3: Cross multiply
    1,520,782,610,260x = 3,222,878,009,372 × 3,222,878,009,372
  4. Step 4: Simplify right side
    1,520,782,610,260x = 10,386,942,663,293,624,779,800,576
  5. Step 5: Solve for x
    x = 10,386,942,663,293,624,779,800,576/1,520,782,610,260
  6. Step 6: Final answer
    x = 6,829,998,313,511.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.