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Finding the Third Proportional to 510,090,051 and 1,091,097,222

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Solution

The third proportional to 510,090,051 and 1,091,097,222 is: 2,333,888,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,090,051 : 1,091,097,222 = 1,091,097,222 : x
  2. Step 2: Convert to fraction form
    510,090,051/1,091,097,222 = 1,091,097,222/x
  3. Step 3: Cross multiply
    510,090,051x = 1,091,097,222 × 1,091,097,222
  4. Step 4: Simplify right side
    510,090,051x = 1,190,493,147,856,117,248
  5. Step 5: Solve for x
    x = 1,190,493,147,856,117,248/510,090,051
  6. Step 6: Final answer
    x = 2,333,888,193.90

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