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Finding the Third Proportional to 3,495,772,134 and 7,490,168,064

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Solution

The third proportional to 3,495,772,134 and 7,490,168,064 is: 16,048,705,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495,772,134 : 7,490,168,064 = 7,490,168,064 : x
  2. Step 2: Convert to fraction form
    3,495,772,134/7,490,168,064 = 7,490,168,064/x
  3. Step 3: Cross multiply
    3,495,772,134x = 7,490,168,064 × 7,490,168,064
  4. Step 4: Simplify right side
    3,495,772,134x = 56,102,617,626,965,508,096
  5. Step 5: Solve for x
    x = 56,102,617,626,965,508,096/3,495,772,134
  6. Step 6: Final answer
    x = 16,048,705,543.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.