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Finding the Third Proportional to 633,758,046 and 1,361,226,774

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Solution

The third proportional to 633,758,046 and 1,361,226,774 is: 2,923,731,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,758,046 : 1,361,226,774 = 1,361,226,774 : x
  2. Step 2: Convert to fraction form
    633,758,046/1,361,226,774 = 1,361,226,774/x
  3. Step 3: Cross multiply
    633,758,046x = 1,361,226,774 × 1,361,226,774
  4. Step 4: Simplify right side
    633,758,046x = 1,852,938,330,254,447,104
  5. Step 5: Solve for x
    x = 1,852,938,330,254,447,104/633,758,046
  6. Step 6: Final answer
    x = 2,923,731,449.17

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