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Finding the Third Proportional to 1,911,314,699,133 and 4,095,252,070,266

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Solution

The third proportional to 1,911,314,699,133 and 4,095,252,070,266 is: 8,774,635,347,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,314,699,133 : 4,095,252,070,266 = 4,095,252,070,266 : x
  2. Step 2: Convert to fraction form
    1,911,314,699,133/4,095,252,070,266 = 4,095,252,070,266/x
  3. Step 3: Cross multiply
    1,911,314,699,133x = 4,095,252,070,266 × 4,095,252,070,266
  4. Step 4: Simplify right side
    1,911,314,699,133x = 16,771,089,519,017,958,129,532,928
  5. Step 5: Solve for x
    x = 16,771,089,519,017,958,129,532,928/1,911,314,699,133
  6. Step 6: Final answer
    x = 8,774,635,347,400.18

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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.