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Finding the Third Proportional to 76,454,127,834 and 106,303,353,560

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Solution

The third proportional to 76,454,127,834 and 106,303,353,560 is: 147,806,315,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,127,834 : 106,303,353,560 = 106,303,353,560 : x
  2. Step 2: Convert to fraction form
    76,454,127,834/106,303,353,560 = 106,303,353,560/x
  3. Step 3: Cross multiply
    76,454,127,834x = 106,303,353,560 × 106,303,353,560
  4. Step 4: Simplify right side
    76,454,127,834x = 11,300,402,978,102,364,340,224
  5. Step 5: Solve for x
    x = 11,300,402,978,102,364,340,224/76,454,127,834
  6. Step 6: Final answer
    x = 147,806,315,999.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.