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Finding the Third Proportional to 849,359,268.75 and 1,845,739,218.75

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Solution

The third proportional to 849,359,268.75 and 1,845,739,218.75 is: 4,010,968,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,359,268.75 : 1,845,739,218.75 = 1,845,739,218.75 : x
  2. Step 2: Convert to fraction form
    849,359,268.75/1,845,739,218.75 = 1,845,739,218.75/x
  3. Step 3: Cross multiply
    849,359,268.75x = 1,845,739,218.75 × 1,845,739,218.75
  4. Step 4: Simplify right side
    849,359,268.75x = 3,406,753,263,631,860,224
  5. Step 5: Solve for x
    x = 3,406,753,263,631,860,224/849,359,268.75
  6. Step 6: Final answer
    x = 4,010,968,489.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.