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Finding the Third Proportional to 1,911,314,699,137 and 4,095,252,070,274

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Solution

The third proportional to 1,911,314,699,137 and 4,095,252,070,274 is: 8,774,635,347,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,314,699,137 : 4,095,252,070,274 = 4,095,252,070,274 : x
  2. Step 2: Convert to fraction form
    1,911,314,699,137/4,095,252,070,274 = 4,095,252,070,274/x
  3. Step 3: Cross multiply
    1,911,314,699,137x = 4,095,252,070,274 × 4,095,252,070,274
  4. Step 4: Simplify right side
    1,911,314,699,137x = 16,771,089,519,083,482,150,600,704
  5. Step 5: Solve for x
    x = 16,771,089,519,083,482,150,600,704/1,911,314,699,137
  6. Step 6: Final answer
    x = 8,774,635,347,416.10

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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.