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Finding the Third Proportional to 1,163,096,772 and 1,745,496,636

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Solution

The third proportional to 1,163,096,772 and 1,745,496,636 is: 2,619,522,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,096,772 : 1,745,496,636 = 1,745,496,636 : x
  2. Step 2: Convert to fraction form
    1,163,096,772/1,745,496,636 = 1,745,496,636/x
  3. Step 3: Cross multiply
    1,163,096,772x = 1,745,496,636 × 1,745,496,636
  4. Step 4: Simplify right side
    1,163,096,772x = 3,046,758,506,287,316,480
  5. Step 5: Solve for x
    x = 3,046,758,506,287,316,480/1,163,096,772
  6. Step 6: Final answer
    x = 2,619,522,794.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.