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Finding the Third Proportional to 1,357,239,747,481 and 2,024,089,796,651

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Solution

The third proportional to 1,357,239,747,481 and 2,024,089,796,651 is: 3,018,582,024,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,239,747,481 : 2,024,089,796,651 = 2,024,089,796,651 : x
  2. Step 2: Convert to fraction form
    1,357,239,747,481/2,024,089,796,651 = 2,024,089,796,651/x
  3. Step 3: Cross multiply
    1,357,239,747,481x = 2,024,089,796,651 × 2,024,089,796,651
  4. Step 4: Simplify right side
    1,357,239,747,481x = 4,096,939,504,906,686,343,151,616
  5. Step 5: Solve for x
    x = 4,096,939,504,906,686,343,151,616/1,357,239,747,481
  6. Step 6: Final answer
    x = 3,018,582,024,664.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.