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Finding the Third Proportional to 27,962,186,803 and 61,337,996,993

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Solution

The third proportional to 27,962,186,803 and 61,337,996,993 is: 134,551,346,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962,186,803 : 61,337,996,993 = 61,337,996,993 : x
  2. Step 2: Convert to fraction form
    27,962,186,803/61,337,996,993 = 61,337,996,993/x
  3. Step 3: Cross multiply
    27,962,186,803x = 61,337,996,993 × 61,337,996,993
  4. Step 4: Simplify right side
    27,962,186,803x = 3,762,349,875,113,276,997,632
  5. Step 5: Solve for x
    x = 3,762,349,875,113,276,997,632/27,962,186,803
  6. Step 6: Final answer
    x = 134,551,346,131.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.