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Finding the Third Proportional to 324,508,641,185 and 693,676,281,154

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Solution

The third proportional to 324,508,641,185 and 693,676,281,154 is: 1,482,816,547,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,508,641,185 : 693,676,281,154 = 693,676,281,154 : x
  2. Step 2: Convert to fraction form
    324,508,641,185/693,676,281,154 = 693,676,281,154/x
  3. Step 3: Cross multiply
    324,508,641,185x = 693,676,281,154 × 693,676,281,154
  4. Step 4: Simplify right side
    324,508,641,185x = 481,186,783,035,643,255,586,816
  5. Step 5: Solve for x
    x = 481,186,783,035,643,255,586,816/324,508,641,185
  6. Step 6: Final answer
    x = 1,482,816,547,745.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.