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Finding the Third Proportional to 2,954,648,575 and 4,610,851,997

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Solution

The third proportional to 2,954,648,575 and 4,610,851,997 is: 7,195,426,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,648,575 : 4,610,851,997 = 4,610,851,997 : x
  2. Step 2: Convert to fraction form
    2,954,648,575/4,610,851,997 = 4,610,851,997/x
  3. Step 3: Cross multiply
    2,954,648,575x = 4,610,851,997 × 4,610,851,997
  4. Step 4: Simplify right side
    2,954,648,575x = 21,259,956,138,238,889,984
  5. Step 5: Solve for x
    x = 21,259,956,138,238,889,984/2,954,648,575
  6. Step 6: Final answer
    x = 7,195,426,325.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.