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Finding the Third Proportional to 1,892,534,394 and 4,141,838,484

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Solution

The third proportional to 1,892,534,394 and 4,141,838,484 is: 9,064,472,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892,534,394 : 4,141,838,484 = 4,141,838,484 : x
  2. Step 2: Convert to fraction form
    1,892,534,394/4,141,838,484 = 4,141,838,484/x
  3. Step 3: Cross multiply
    1,892,534,394x = 4,141,838,484 × 4,141,838,484
  4. Step 4: Simplify right side
    1,892,534,394x = 17,154,826,027,543,418,880
  5. Step 5: Solve for x
    x = 17,154,826,027,543,418,880/1,892,534,394
  6. Step 6: Final answer
    x = 9,064,472,530.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.