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Finding the Third Proportional to 2,941,464,588 and 6,302,567,722.50

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Solution

The third proportional to 2,941,464,588 and 6,302,567,722.50 is: 13,504,279,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,464,588 : 6,302,567,722.50 = 6,302,567,722.50 : x
  2. Step 2: Convert to fraction form
    2,941,464,588/6,302,567,722.50 = 6,302,567,722.50/x
  3. Step 3: Cross multiply
    2,941,464,588x = 6,302,567,722.50 × 6,302,567,722.50
  4. Step 4: Simplify right side
    2,941,464,588x = 39,722,359,896,698,839,040
  5. Step 5: Solve for x
    x = 39,722,359,896,698,839,040/2,941,464,588
  6. Step 6: Final answer
    x = 13,504,279,486.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.