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Finding the Third Proportional to 672,470,504 and 1,459,726,108

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Solution

The third proportional to 672,470,504 and 1,459,726,108 is: 3,168,615,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,470,504 : 1,459,726,108 = 1,459,726,108 : x
  2. Step 2: Convert to fraction form
    672,470,504/1,459,726,108 = 1,459,726,108/x
  3. Step 3: Cross multiply
    672,470,504x = 1,459,726,108 × 1,459,726,108
  4. Step 4: Simplify right side
    672,470,504x = 2,130,800,310,376,827,648
  5. Step 5: Solve for x
    x = 2,130,800,310,376,827,648/672,470,504
  6. Step 6: Final answer
    x = 3,168,615,274.13

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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.