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Finding the Third Proportional to 1,824,378,246 and 3,983,165,730

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Solution

The third proportional to 1,824,378,246 and 3,983,165,730 is: 8,696,447,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,378,246 : 3,983,165,730 = 3,983,165,730 : x
  2. Step 2: Convert to fraction form
    1,824,378,246/3,983,165,730 = 3,983,165,730/x
  3. Step 3: Cross multiply
    1,824,378,246x = 3,983,165,730 × 3,983,165,730
  4. Step 4: Simplify right side
    1,824,378,246x = 15,865,609,232,646,432,768
  5. Step 5: Solve for x
    x = 15,865,609,232,646,432,768/1,824,378,246
  6. Step 6: Final answer
    x = 8,696,447,278.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.