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Finding the Third Proportional to 5,186,101,666 and 11,158,771,415

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Solution

The third proportional to 5,186,101,666 and 11,158,771,415 is: 24,009,976,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,101,666 : 11,158,771,415 = 11,158,771,415 : x
  2. Step 2: Convert to fraction form
    5,186,101,666/11,158,771,415 = 11,158,771,415/x
  3. Step 3: Cross multiply
    5,186,101,666x = 11,158,771,415 × 11,158,771,415
  4. Step 4: Simplify right side
    5,186,101,666x = 124,518,179,492,221,108,224
  5. Step 5: Solve for x
    x = 124,518,179,492,221,108,224/5,186,101,666
  6. Step 6: Final answer
    x = 24,009,976,570.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.