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Finding the Third Proportional to 3,454,744,014 and 7,459,971,804

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Solution

The third proportional to 3,454,744,014 and 7,459,971,804 is: 16,108,626,020.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454,744,014 : 7,459,971,804 = 7,459,971,804 : x
  2. Step 2: Convert to fraction form
    3,454,744,014/7,459,971,804 = 7,459,971,804/x
  3. Step 3: Cross multiply
    3,454,744,014x = 7,459,971,804 × 7,459,971,804
  4. Step 4: Simplify right side
    3,454,744,014x = 55,651,179,316,475,011,072
  5. Step 5: Solve for x
    x = 55,651,179,316,475,011,072/3,454,744,014
  6. Step 6: Final answer
    x = 16,108,626,020.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.