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Finding the Third Proportional to 103,633,924 and 221,616,752

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Solution

The third proportional to 103,633,924 and 221,616,752 is: 473,918,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,924 : 221,616,752 = 221,616,752 : x
  2. Step 2: Convert to fraction form
    103,633,924/221,616,752 = 221,616,752/x
  3. Step 3: Cross multiply
    103,633,924x = 221,616,752 × 221,616,752
  4. Step 4: Simplify right side
    103,633,924x = 49,113,984,767,029,504
  5. Step 5: Solve for x
    x = 49,113,984,767,029,504/103,633,924
  6. Step 6: Final answer
    x = 473,918,026.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.