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Finding the Third Proportional to 634,831,422,926 and 1,370,650,728,988

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Solution

The third proportional to 634,831,422,926 and 1,370,650,728,988 is: 2,959,342,201,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,831,422,926 : 1,370,650,728,988 = 1,370,650,728,988 : x
  2. Step 2: Convert to fraction form
    634,831,422,926/1,370,650,728,988 = 1,370,650,728,988/x
  3. Step 3: Cross multiply
    634,831,422,926x = 1,370,650,728,988 × 1,370,650,728,988
  4. Step 4: Simplify right side
    634,831,422,926x = 1,878,683,420,875,335,957,217,280
  5. Step 5: Solve for x
    x = 1,878,683,420,875,335,957,217,280/634,831,422,926
  6. Step 6: Final answer
    x = 2,959,342,201,771.14

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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.