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Finding the Third Proportional to 1,357,239,747,483 and 2,024,089,796,654

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Solution

The third proportional to 1,357,239,747,483 and 2,024,089,796,654 is: 3,018,582,024,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,239,747,483 : 2,024,089,796,654 = 2,024,089,796,654 : x
  2. Step 2: Convert to fraction form
    1,357,239,747,483/2,024,089,796,654 = 2,024,089,796,654/x
  3. Step 3: Cross multiply
    1,357,239,747,483x = 2,024,089,796,654 × 2,024,089,796,654
  4. Step 4: Simplify right side
    1,357,239,747,483x = 4,096,939,504,918,830,900,051,968
  5. Step 5: Solve for x
    x = 4,096,939,504,918,830,900,051,968/1,357,239,747,483
  6. Step 6: Final answer
    x = 3,018,582,024,669.26

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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.