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Finding the Third Proportional to 1,453,676,802 and 3,170,453,804

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Solution

The third proportional to 1,453,676,802 and 3,170,453,804 is: 6,914,726,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,676,802 : 3,170,453,804 = 3,170,453,804 : x
  2. Step 2: Convert to fraction form
    1,453,676,802/3,170,453,804 = 3,170,453,804/x
  3. Step 3: Cross multiply
    1,453,676,802x = 3,170,453,804 × 3,170,453,804
  4. Step 4: Simplify right side
    1,453,676,802x = 10,051,777,323,298,070,528
  5. Step 5: Solve for x
    x = 10,051,777,323,298,070,528/1,453,676,802
  6. Step 6: Final answer
    x = 6,914,726,374.85

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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.