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Finding the Third Proportional to 1,921,555,836 and 4,195,457,784

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Solution

The third proportional to 1,921,555,836 and 4,195,457,784 is: 9,160,215,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,555,836 : 4,195,457,784 = 4,195,457,784 : x
  2. Step 2: Convert to fraction form
    1,921,555,836/4,195,457,784 = 4,195,457,784/x
  3. Step 3: Cross multiply
    1,921,555,836x = 4,195,457,784 × 4,195,457,784
  4. Step 4: Simplify right side
    1,921,555,836x = 17,601,866,017,326,190,592
  5. Step 5: Solve for x
    x = 17,601,866,017,326,190,592/1,921,555,836
  6. Step 6: Final answer
    x = 9,160,215,741.62

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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.