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Finding the Third Proportional to 66,281,355 and 144,035,748

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Solution

The third proportional to 66,281,355 and 144,035,748 is: 313,003,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,281,355 : 144,035,748 = 144,035,748 : x
  2. Step 2: Convert to fraction form
    66,281,355/144,035,748 = 144,035,748/x
  3. Step 3: Cross multiply
    66,281,355x = 144,035,748 × 144,035,748
  4. Step 4: Simplify right side
    66,281,355x = 20,746,296,701,919,504
  5. Step 5: Solve for x
    x = 20,746,296,701,919,504/66,281,355
  6. Step 6: Final answer
    x = 313,003,509.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.