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Finding the Third Proportional to 76,454,127,765 and 106,303,353,457.50

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Solution

The third proportional to 76,454,127,765 and 106,303,353,457.50 is: 147,806,315,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,127,765 : 106,303,353,457.50 = 106,303,353,457.50 : x
  2. Step 2: Convert to fraction form
    76,454,127,765/106,303,353,457.50 = 106,303,353,457.50/x
  3. Step 3: Cross multiply
    76,454,127,765x = 106,303,353,457.50 × 106,303,353,457.50
  4. Step 4: Simplify right side
    76,454,127,765x = 11,300,402,956,310,176,333,824
  5. Step 5: Solve for x
    x = 11,300,402,956,310,176,333,824/76,454,127,765
  6. Step 6: Final answer
    x = 147,806,315,847.91

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Why These Related Problems?

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