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Finding the Third Proportional to 719,774,562,415 and 1,499,124,441,986

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Solution

The third proportional to 719,774,562,415 and 1,499,124,441,986 is: 3,122,330,532,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,774,562,415 : 1,499,124,441,986 = 1,499,124,441,986 : x
  2. Step 2: Convert to fraction form
    719,774,562,415/1,499,124,441,986 = 1,499,124,441,986/x
  3. Step 3: Cross multiply
    719,774,562,415x = 1,499,124,441,986 × 1,499,124,441,986
  4. Step 4: Simplify right side
    719,774,562,415x = 2,247,374,092,559,835,803,418,624
  5. Step 5: Solve for x
    x = 2,247,374,092,559,835,803,418,624/719,774,562,415
  6. Step 6: Final answer
    x = 3,122,330,532,242.50

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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.