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Finding the Third Proportional to 30,831,920,064 and 49,059,645,974

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Solution

The third proportional to 30,831,920,064 and 49,059,645,974 is: 78,063,541,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831,920,064 : 49,059,645,974 = 49,059,645,974 : x
  2. Step 2: Convert to fraction form
    30,831,920,064/49,059,645,974 = 49,059,645,974/x
  3. Step 3: Cross multiply
    30,831,920,064x = 49,059,645,974 × 49,059,645,974
  4. Step 4: Simplify right side
    30,831,920,064x = 2,406,848,863,094,214,492,160
  5. Step 5: Solve for x
    x = 2,406,848,863,094,214,492,160/30,831,920,064
  6. Step 6: Final answer
    x = 78,063,541,229.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.