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Finding the Third Proportional to 1,075,719,696 and 1,582,818,727.50

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Solution

The third proportional to 1,075,719,696 and 1,582,818,727.50 is: 2,328,966,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,719,696 : 1,582,818,727.50 = 1,582,818,727.50 : x
  2. Step 2: Convert to fraction form
    1,075,719,696/1,582,818,727.50 = 1,582,818,727.50/x
  3. Step 3: Cross multiply
    1,075,719,696x = 1,582,818,727.50 × 1,582,818,727.50
  4. Step 4: Simplify right side
    1,075,719,696x = 2,505,315,124,124,719,104
  5. Step 5: Solve for x
    x = 2,505,315,124,124,719,104/1,075,719,696
  6. Step 6: Final answer
    x = 2,328,966,489.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.