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Finding the Third Proportional to 2,594,958,656 and 5,373,878,032

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Solution

The third proportional to 2,594,958,656 and 5,373,878,032 is: 11,128,718,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,958,656 : 5,373,878,032 = 5,373,878,032 : x
  2. Step 2: Convert to fraction form
    2,594,958,656/5,373,878,032 = 5,373,878,032/x
  3. Step 3: Cross multiply
    2,594,958,656x = 5,373,878,032 × 5,373,878,032
  4. Step 4: Simplify right side
    2,594,958,656x = 28,878,565,102,812,192,768
  5. Step 5: Solve for x
    x = 28,878,565,102,812,192,768/2,594,958,656
  6. Step 6: Final answer
    x = 11,128,718,770.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.