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Finding the Third Proportional to 1,103,051,189 and 2,363,466,886

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Solution

The third proportional to 1,103,051,189 and 2,363,466,886 is: 5,064,112,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,051,189 : 2,363,466,886 = 2,363,466,886 : x
  2. Step 2: Convert to fraction form
    1,103,051,189/2,363,466,886 = 2,363,466,886/x
  3. Step 3: Cross multiply
    1,103,051,189x = 2,363,466,886 × 2,363,466,886
  4. Step 4: Simplify right side
    1,103,051,189x = 5,585,975,721,218,537,472
  5. Step 5: Solve for x
    x = 5,585,975,721,218,537,472/1,103,051,189
  6. Step 6: Final answer
    x = 5,064,112,868.85

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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.