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Finding the Third Proportional to 693,665,397 and 1,636,926,205.50

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Solution

The third proportional to 693,665,397 and 1,636,926,205.50 is: 3,862,852,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,665,397 : 1,636,926,205.50 = 1,636,926,205.50 : x
  2. Step 2: Convert to fraction form
    693,665,397/1,636,926,205.50 = 1,636,926,205.50/x
  3. Step 3: Cross multiply
    693,665,397x = 1,636,926,205.50 × 1,636,926,205.50
  4. Step 4: Simplify right side
    693,665,397x = 2,679,527,402,252,628,480
  5. Step 5: Solve for x
    x = 2,679,527,402,252,628,480/693,665,397
  6. Step 6: Final answer
    x = 3,862,852,917.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.