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Finding the Third Proportional to 1,745,611,686 and 2,615,864,053.50

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Solution

The third proportional to 1,745,611,686 and 2,615,864,053.50 is: 3,919,969,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,611,686 : 2,615,864,053.50 = 2,615,864,053.50 : x
  2. Step 2: Convert to fraction form
    1,745,611,686/2,615,864,053.50 = 2,615,864,053.50/x
  3. Step 3: Cross multiply
    1,745,611,686x = 2,615,864,053.50 × 2,615,864,053.50
  4. Step 4: Simplify right side
    1,745,611,686x = 6,842,744,746,393,450,496
  5. Step 5: Solve for x
    x = 6,842,744,746,393,450,496/1,745,611,686
  6. Step 6: Final answer
    x = 3,919,969,602.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.