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Finding the Third Proportional to 34,438,824,021 and 53,471,432,480

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Solution

The third proportional to 34,438,824,021 and 53,471,432,480 is: 83,022,407,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438,824,021 : 53,471,432,480 = 53,471,432,480 : x
  2. Step 2: Convert to fraction form
    34,438,824,021/53,471,432,480 = 53,471,432,480/x
  3. Step 3: Cross multiply
    34,438,824,021x = 53,471,432,480 × 53,471,432,480
  4. Step 4: Simplify right side
    34,438,824,021x = 2,859,194,091,463,199,162,368
  5. Step 5: Solve for x
    x = 2,859,194,091,463,199,162,368/34,438,824,021
  6. Step 6: Final answer
    x = 83,022,407,783.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.