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Finding the Third Proportional to 10,256,412,312 and 22,224,656,088

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Solution

The third proportional to 10,256,412,312 and 22,224,656,088 is: 48,158,685,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256,412,312 : 22,224,656,088 = 22,224,656,088 : x
  2. Step 2: Convert to fraction form
    10,256,412,312/22,224,656,088 = 22,224,656,088/x
  3. Step 3: Cross multiply
    10,256,412,312x = 22,224,656,088 × 22,224,656,088
  4. Step 4: Simplify right side
    10,256,412,312x = 493,935,338,229,875,474,432
  5. Step 5: Solve for x
    x = 493,935,338,229,875,474,432/10,256,412,312
  6. Step 6: Final answer
    x = 48,158,685,825.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.