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Finding the Third Proportional to 14,718,477,685 and 32,100,844,894

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Solution

The third proportional to 14,718,477,685 and 32,100,844,894 is: 70,011,604,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718,477,685 : 32,100,844,894 = 32,100,844,894 : x
  2. Step 2: Convert to fraction form
    14,718,477,685/32,100,844,894 = 32,100,844,894/x
  3. Step 3: Cross multiply
    14,718,477,685x = 32,100,844,894 × 32,100,844,894
  4. Step 4: Simplify right side
    14,718,477,685x = 1,030,464,242,908,645,818,368
  5. Step 5: Solve for x
    x = 1,030,464,242,908,645,818,368/14,718,477,685
  6. Step 6: Final answer
    x = 70,011,604,797.88

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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.