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Finding the Third Proportional to 34,713,036 and 74,650,268.25

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Solution

The third proportional to 34,713,036 and 74,650,268.25 is: 160,535,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713,036 : 74,650,268.25 = 74,650,268.25 : x
  2. Step 2: Convert to fraction form
    34,713,036/74,650,268.25 = 74,650,268.25/x
  3. Step 3: Cross multiply
    34,713,036x = 74,650,268.25 × 74,650,268.25
  4. Step 4: Simplify right side
    34,713,036x = 5,572,662,549,796,958
  5. Step 5: Solve for x
    x = 5,572,662,549,796,958/34,713,036
  6. Step 6: Final answer
    x = 160,535,153.13

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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.