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Finding the Third Proportional to 719,774,562,376 and 1,499,124,441,944

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Solution

The third proportional to 719,774,562,376 and 1,499,124,441,944 is: 3,122,330,532,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,774,562,376 : 1,499,124,441,944 = 1,499,124,441,944 : x
  2. Step 2: Convert to fraction form
    719,774,562,376/1,499,124,441,944 = 1,499,124,441,944/x
  3. Step 3: Cross multiply
    719,774,562,376x = 1,499,124,441,944 × 1,499,124,441,944
  4. Step 4: Simplify right side
    719,774,562,376x = 2,247,374,092,433,909,509,783,552
  5. Step 5: Solve for x
    x = 2,247,374,092,433,909,509,783,552/719,774,562,376
  6. Step 6: Final answer
    x = 3,122,330,532,236.72

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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.