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Finding the Third Proportional to 15,802,144,989.75 and 22,831,370,532

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Solution

The third proportional to 15,802,144,989.75 and 22,831,370,532 is: 32,987,387,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802,144,989.75 : 22,831,370,532 = 22,831,370,532 : x
  2. Step 2: Convert to fraction form
    15,802,144,989.75/22,831,370,532 = 22,831,370,532/x
  3. Step 3: Cross multiply
    15,802,144,989.75x = 22,831,370,532 × 22,831,370,532
  4. Step 4: Simplify right side
    15,802,144,989.75x = 521,271,480,369,477,976,064
  5. Step 5: Solve for x
    x = 521,271,480,369,477,976,064/15,802,144,989.75
  6. Step 6: Final answer
    x = 32,987,387,516.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.