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Finding the Third Proportional to 719,774,562,426 and 1,499,124,442,006

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Solution

The third proportional to 719,774,562,426 and 1,499,124,442,006 is: 3,122,330,532,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,774,562,426 : 1,499,124,442,006 = 1,499,124,442,006 : x
  2. Step 2: Convert to fraction form
    719,774,562,426/1,499,124,442,006 = 1,499,124,442,006/x
  3. Step 3: Cross multiply
    719,774,562,426x = 1,499,124,442,006 × 1,499,124,442,006
  4. Step 4: Simplify right side
    719,774,562,426x = 2,247,374,092,619,800,794,628,096
  5. Step 5: Solve for x
    x = 2,247,374,092,619,800,794,628,096/719,774,562,426
  6. Step 6: Final answer
    x = 3,122,330,532,278.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.