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Finding the Third Proportional to 1,325,070,926 and 2,870,975,024

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Solution

The third proportional to 1,325,070,926 and 2,870,975,024 is: 6,220,419,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,070,926 : 2,870,975,024 = 2,870,975,024 : x
  2. Step 2: Convert to fraction form
    1,325,070,926/2,870,975,024 = 2,870,975,024/x
  3. Step 3: Cross multiply
    1,325,070,926x = 2,870,975,024 × 2,870,975,024
  4. Step 4: Simplify right side
    1,325,070,926x = 8,242,497,588,431,800,320
  5. Step 5: Solve for x
    x = 8,242,497,588,431,800,320/1,325,070,926
  6. Step 6: Final answer
    x = 6,220,419,923.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.