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Finding the Third Proportional to 634,831,422,924 and 1,370,650,728,984

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Solution

The third proportional to 634,831,422,924 and 1,370,650,728,984 is: 2,959,342,201,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,831,422,924 : 1,370,650,728,984 = 1,370,650,728,984 : x
  2. Step 2: Convert to fraction form
    634,831,422,924/1,370,650,728,984 = 1,370,650,728,984/x
  3. Step 3: Cross multiply
    634,831,422,924x = 1,370,650,728,984 × 1,370,650,728,984
  4. Step 4: Simplify right side
    634,831,422,924x = 1,878,683,420,864,370,637,275,136
  5. Step 5: Solve for x
    x = 1,878,683,420,864,370,637,275,136/634,831,422,924
  6. Step 6: Final answer
    x = 2,959,342,201,763.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.