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Finding the Third Proportional to 7,068,957,057 and 10,542,134,411

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Solution

The third proportional to 7,068,957,057 and 10,542,134,411 is: 15,721,781,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068,957,057 : 10,542,134,411 = 10,542,134,411 : x
  2. Step 2: Convert to fraction form
    7,068,957,057/10,542,134,411 = 10,542,134,411/x
  3. Step 3: Cross multiply
    7,068,957,057x = 10,542,134,411 × 10,542,134,411
  4. Step 4: Simplify right side
    7,068,957,057x = 111,136,597,939,590,316,032
  5. Step 5: Solve for x
    x = 111,136,597,939,590,316,032/7,068,957,057
  6. Step 6: Final answer
    x = 15,721,781,451.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.