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Finding the Third Proportional to 324,508,641,184 and 693,676,281,152

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Solution

The third proportional to 324,508,641,184 and 693,676,281,152 is: 1,482,816,547,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,508,641,184 : 693,676,281,152 = 693,676,281,152 : x
  2. Step 2: Convert to fraction form
    324,508,641,184/693,676,281,152 = 693,676,281,152/x
  3. Step 3: Cross multiply
    324,508,641,184x = 693,676,281,152 × 693,676,281,152
  4. Step 4: Simplify right side
    324,508,641,184x = 481,186,783,032,868,572,495,872
  5. Step 5: Solve for x
    x = 481,186,783,032,868,572,495,872/324,508,641,184
  6. Step 6: Final answer
    x = 1,482,816,547,741.88

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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.