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Finding the Third Proportional to 2,962,035,217 and 6,169,236,345

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Solution

The third proportional to 2,962,035,217 and 6,169,236,345 is: 12,849,096,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,035,217 : 6,169,236,345 = 6,169,236,345 : x
  2. Step 2: Convert to fraction form
    2,962,035,217/6,169,236,345 = 6,169,236,345/x
  3. Step 3: Cross multiply
    2,962,035,217x = 6,169,236,345 × 6,169,236,345
  4. Step 4: Simplify right side
    2,962,035,217x = 38,059,477,080,468,955,136
  5. Step 5: Solve for x
    x = 38,059,477,080,468,955,136/2,962,035,217
  6. Step 6: Final answer
    x = 12,849,096,750.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.