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Finding the Third Proportional to 1,365,887,095 and 2,938,936,118

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Solution

The third proportional to 1,365,887,095 and 2,938,936,118 is: 6,323,616,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,887,095 : 2,938,936,118 = 2,938,936,118 : x
  2. Step 2: Convert to fraction form
    1,365,887,095/2,938,936,118 = 2,938,936,118/x
  3. Step 3: Cross multiply
    1,365,887,095x = 2,938,936,118 × 2,938,936,118
  4. Step 4: Simplify right side
    1,365,887,095x = 8,637,345,505,684,910,080
  5. Step 5: Solve for x
    x = 8,637,345,505,684,910,080/1,365,887,095
  6. Step 6: Final answer
    x = 6,323,616,012.85

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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.