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Finding the Third Proportional to 463,845,654 and 994,089,447

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Solution

The third proportional to 463,845,654 and 994,089,447 is: 2,130,479,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,845,654 : 994,089,447 = 994,089,447 : x
  2. Step 2: Convert to fraction form
    463,845,654/994,089,447 = 994,089,447/x
  3. Step 3: Cross multiply
    463,845,654x = 994,089,447 × 994,089,447
  4. Step 4: Simplify right side
    463,845,654x = 988,213,828,636,765,824
  5. Step 5: Solve for x
    x = 988,213,828,636,765,824/463,845,654
  6. Step 6: Final answer
    x = 2,130,479,870.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.