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Finding the Third Proportional to 1,035,778,521 and 2,219,297,640

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Solution

The third proportional to 1,035,778,521 and 2,219,297,640 is: 4,755,149,788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,778,521 : 2,219,297,640 = 2,219,297,640 : x
  2. Step 2: Convert to fraction form
    1,035,778,521/2,219,297,640 = 2,219,297,640/x
  3. Step 3: Cross multiply
    1,035,778,521x = 2,219,297,640 × 2,219,297,640
  4. Step 4: Simplify right side
    1,035,778,521x = 4,925,282,014,909,570,048
  5. Step 5: Solve for x
    x = 4,925,282,014,909,570,048/1,035,778,521
  6. Step 6: Final answer
    x = 4,755,149,788.35

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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.