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Finding the Third Proportional to 12,937,688,292 and 19,354,814,175

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Solution

The third proportional to 12,937,688,292 and 19,354,814,175 is: 28,954,850,611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937,688,292 : 19,354,814,175 = 19,354,814,175 : x
  2. Step 2: Convert to fraction form
    12,937,688,292/19,354,814,175 = 19,354,814,175/x
  3. Step 3: Cross multiply
    12,937,688,292x = 19,354,814,175 × 19,354,814,175
  4. Step 4: Simplify right side
    12,937,688,292x = 374,608,831,748,780,916,736
  5. Step 5: Solve for x
    x = 374,608,831,748,780,916,736/12,937,688,292
  6. Step 6: Final answer
    x = 28,954,850,611.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.