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Finding the Third Proportional to 44,684,809 and 96,423,658

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Solution

The third proportional to 44,684,809 and 96,423,658 is: 208,068,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,684,809 : 96,423,658 = 96,423,658 : x
  2. Step 2: Convert to fraction form
    44,684,809/96,423,658 = 96,423,658/x
  3. Step 3: Cross multiply
    44,684,809x = 96,423,658 × 96,423,658
  4. Step 4: Simplify right side
    44,684,809x = 9,297,521,822,100,964
  5. Step 5: Solve for x
    x = 9,297,521,822,100,964/44,684,809
  6. Step 6: Final answer
    x = 208,068,961.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.