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Finding the Third Proportional to 14,577,720,974 and 21,771,054,945

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Solution

The third proportional to 14,577,720,974 and 21,771,054,945 is: 32,513,918,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577,720,974 : 21,771,054,945 = 21,771,054,945 : x
  2. Step 2: Convert to fraction form
    14,577,720,974/21,771,054,945 = 21,771,054,945/x
  3. Step 3: Cross multiply
    14,577,720,974x = 21,771,054,945 × 21,771,054,945
  4. Step 4: Simplify right side
    14,577,720,974x = 473,978,833,418,208,935,936
  5. Step 5: Solve for x
    x = 473,978,833,418,208,935,936/14,577,720,974
  6. Step 6: Final answer
    x = 32,513,918,620.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.