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Finding the Third Proportional to 2,960,884,433 and 6,583,780,352

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Solution

The third proportional to 2,960,884,433 and 6,583,780,352 is: 14,639,599,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,884,433 : 6,583,780,352 = 6,583,780,352 : x
  2. Step 2: Convert to fraction form
    2,960,884,433/6,583,780,352 = 6,583,780,352/x
  3. Step 3: Cross multiply
    2,960,884,433x = 6,583,780,352 × 6,583,780,352
  4. Step 4: Simplify right side
    2,960,884,433x = 43,346,163,723,381,243,904
  5. Step 5: Solve for x
    x = 43,346,163,723,381,243,904/2,960,884,433
  6. Step 6: Final answer
    x = 14,639,599,992.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.