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Finding the Third Proportional to 1,365,887,088 and 2,938,936,103

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Solution

The third proportional to 1,365,887,088 and 2,938,936,103 is: 6,323,615,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,887,088 : 2,938,936,103 = 2,938,936,103 : x
  2. Step 2: Convert to fraction form
    1,365,887,088/2,938,936,103 = 2,938,936,103/x
  3. Step 3: Cross multiply
    1,365,887,088x = 2,938,936,103 × 2,938,936,103
  4. Step 4: Simplify right side
    1,365,887,088x = 8,637,345,417,516,826,624
  5. Step 5: Solve for x
    x = 8,637,345,417,516,826,624/1,365,887,088
  6. Step 6: Final answer
    x = 6,323,615,980.71

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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.