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Finding the Third Proportional to 103,633,952 and 221,616,810

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Solution

The third proportional to 103,633,952 and 221,616,810 is: 473,918,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,952 : 221,616,810 = 221,616,810 : x
  2. Step 2: Convert to fraction form
    103,633,952/221,616,810 = 221,616,810/x
  3. Step 3: Cross multiply
    103,633,952x = 221,616,810 × 221,616,810
  4. Step 4: Simplify right side
    103,633,952x = 49,114,010,474,576,096
  5. Step 5: Solve for x
    x = 49,114,010,474,576,096/103,633,952
  6. Step 6: Final answer
    x = 473,918,146.77

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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.