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Finding the Third Proportional to 14,718,477,564 and 32,100,844,668

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Solution

The third proportional to 14,718,477,564 and 32,100,844,668 is: 70,011,604,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718,477,564 : 32,100,844,668 = 32,100,844,668 : x
  2. Step 2: Convert to fraction form
    14,718,477,564/32,100,844,668 = 32,100,844,668/x
  3. Step 3: Cross multiply
    14,718,477,564x = 32,100,844,668 × 32,100,844,668
  4. Step 4: Simplify right side
    14,718,477,564x = 1,030,464,228,399,064,023,040
  5. Step 5: Solve for x
    x = 1,030,464,228,399,064,023,040/14,718,477,564
  6. Step 6: Final answer
    x = 70,011,604,387.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.