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Finding the Third Proportional to 103,634,006 and 221,616,918

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Solution

The third proportional to 103,634,006 and 221,616,918 is: 473,918,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634,006 : 221,616,918 = 221,616,918 : x
  2. Step 2: Convert to fraction form
    103,634,006/221,616,918 = 221,616,918/x
  3. Step 3: Cross multiply
    103,634,006x = 221,616,918 × 221,616,918
  4. Step 4: Simplify right side
    103,634,006x = 49,114,058,343,818,720
  5. Step 5: Solve for x
    x = 49,114,058,343,818,720/103,634,006
  6. Step 6: Final answer
    x = 473,918,361.74

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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.