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Finding the Third Proportional to 14,718,477,566 and 32,100,844,672

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Solution

The third proportional to 14,718,477,566 and 32,100,844,672 is: 70,011,604,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718,477,566 : 32,100,844,672 = 32,100,844,672 : x
  2. Step 2: Convert to fraction form
    14,718,477,566/32,100,844,672 = 32,100,844,672/x
  3. Step 3: Cross multiply
    14,718,477,566x = 32,100,844,672 × 32,100,844,672
  4. Step 4: Simplify right side
    14,718,477,566x = 1,030,464,228,655,870,771,200
  5. Step 5: Solve for x
    x = 1,030,464,228,655,870,771,200/14,718,477,566
  6. Step 6: Final answer
    x = 70,011,604,395.57

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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.