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Finding the Third Proportional to 1,581,536,154 and 3,293,975,052

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Solution

The third proportional to 1,581,536,154 and 3,293,975,052 is: 6,860,590,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,536,154 : 3,293,975,052 = 3,293,975,052 : x
  2. Step 2: Convert to fraction form
    1,581,536,154/3,293,975,052 = 3,293,975,052/x
  3. Step 3: Cross multiply
    1,581,536,154x = 3,293,975,052 × 3,293,975,052
  4. Step 4: Simplify right side
    1,581,536,154x = 10,850,271,643,198,402,560
  5. Step 5: Solve for x
    x = 10,850,271,643,198,402,560/1,581,536,154
  6. Step 6: Final answer
    x = 6,860,590,329.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.