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Finding the Third Proportional to 8,484,992,984 and 17,211,925,030

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Solution

The third proportional to 8,484,992,984 and 17,211,925,030 is: 34,914,626,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484,992,984 : 17,211,925,030 = 17,211,925,030 : x
  2. Step 2: Convert to fraction form
    8,484,992,984/17,211,925,030 = 17,211,925,030/x
  3. Step 3: Cross multiply
    8,484,992,984x = 17,211,925,030 × 17,211,925,030
  4. Step 4: Simplify right side
    8,484,992,984x = 296,250,363,238,340,493,312
  5. Step 5: Solve for x
    x = 296,250,363,238,340,493,312/8,484,992,984
  6. Step 6: Final answer
    x = 34,914,626,776.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.