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Finding the Third Proportional to 689,333,833,960 and 1,508,523,051,800

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Solution

The third proportional to 689,333,833,960 and 1,508,523,051,800 is: 3,301,218,779,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,333,833,960 : 1,508,523,051,800 = 1,508,523,051,800 : x
  2. Step 2: Convert to fraction form
    689,333,833,960/1,508,523,051,800 = 1,508,523,051,800/x
  3. Step 3: Cross multiply
    689,333,833,960x = 1,508,523,051,800 × 1,508,523,051,800
  4. Step 4: Simplify right side
    689,333,833,960x = 2,275,641,797,811,985,457,348,608
  5. Step 5: Solve for x
    x = 2,275,641,797,811,985,457,348,608/689,333,833,960
  6. Step 6: Final answer
    x = 3,301,218,779,207.69

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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.