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Finding the Third Proportional to 849,359,277 and 1,845,739,237.50

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Solution

The third proportional to 849,359,277 and 1,845,739,237.50 is: 4,010,968,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,359,277 : 1,845,739,237.50 = 1,845,739,237.50 : x
  2. Step 2: Convert to fraction form
    849,359,277/1,845,739,237.50 = 1,845,739,237.50/x
  3. Step 3: Cross multiply
    849,359,277x = 1,845,739,237.50 × 1,845,739,237.50
  4. Step 4: Simplify right side
    849,359,277x = 3,406,753,332,847,081,472
  5. Step 5: Solve for x
    x = 3,406,753,332,847,081,472/849,359,277
  6. Step 6: Final answer
    x = 4,010,968,532.52

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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.