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Finding the Third Proportional to 1,169,746,279 and 2,569,088,246

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Solution

The third proportional to 1,169,746,279 and 2,569,088,246 is: 5,642,432,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,746,279 : 2,569,088,246 = 2,569,088,246 : x
  2. Step 2: Convert to fraction form
    1,169,746,279/2,569,088,246 = 2,569,088,246/x
  3. Step 3: Cross multiply
    1,169,746,279x = 2,569,088,246 × 2,569,088,246
  4. Step 4: Simplify right side
    1,169,746,279x = 6,600,214,415,735,356,416
  5. Step 5: Solve for x
    x = 6,600,214,415,735,356,416/1,169,746,279
  6. Step 6: Final answer
    x = 5,642,432,495.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.