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Finding the Third Proportional to 76,454,128,044 and 106,303,353,912

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Solution

The third proportional to 76,454,128,044 and 106,303,353,912 is: 147,806,316,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,128,044 : 106,303,353,912 = 106,303,353,912 : x
  2. Step 2: Convert to fraction form
    76,454,128,044/106,303,353,912 = 106,303,353,912/x
  3. Step 3: Cross multiply
    76,454,128,044x = 106,303,353,912 × 106,303,353,912
  4. Step 4: Simplify right side
    76,454,128,044x = 11,300,403,052,939,925,520,384
  5. Step 5: Solve for x
    x = 11,300,403,052,939,925,520,384/76,454,128,044
  6. Step 6: Final answer
    x = 147,806,316,572.42

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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.