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Finding the Third Proportional to 633,758,052 and 1,361,226,786

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Solution

The third proportional to 633,758,052 and 1,361,226,786 is: 2,923,731,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,758,052 : 1,361,226,786 = 1,361,226,786 : x
  2. Step 2: Convert to fraction form
    633,758,052/1,361,226,786 = 1,361,226,786/x
  3. Step 3: Cross multiply
    633,758,052x = 1,361,226,786 × 1,361,226,786
  4. Step 4: Simplify right side
    633,758,052x = 1,852,938,362,923,889,920
  5. Step 5: Solve for x
    x = 1,852,938,362,923,889,920/633,758,052
  6. Step 6: Final answer
    x = 2,923,731,473.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.