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Finding the Third Proportional to 10,243,191,343.50 and 15,364,786,995

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Solution

The third proportional to 10,243,191,343.50 and 15,364,786,995 is: 23,047,180,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243,191,343.50 : 15,364,786,995 = 15,364,786,995 : x
  2. Step 2: Convert to fraction form
    10,243,191,343.50/15,364,786,995 = 15,364,786,995/x
  3. Step 3: Cross multiply
    10,243,191,343.50x = 15,364,786,995 × 15,364,786,995
  4. Step 4: Simplify right side
    10,243,191,343.50x = 236,076,679,401,721,135,104
  5. Step 5: Solve for x
    x = 236,076,679,401,721,135,104/10,243,191,343.50
  6. Step 6: Final answer
    x = 23,047,180,462.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.