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Finding the Third Proportional to 689,333,833,964 and 1,508,523,051,808

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Solution

The third proportional to 689,333,833,964 and 1,508,523,051,808 is: 3,301,218,779,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,333,833,964 : 1,508,523,051,808 = 1,508,523,051,808 : x
  2. Step 2: Convert to fraction form
    689,333,833,964/1,508,523,051,808 = 1,508,523,051,808/x
  3. Step 3: Cross multiply
    689,333,833,964x = 1,508,523,051,808 × 1,508,523,051,808
  4. Step 4: Simplify right side
    689,333,833,964x = 2,275,641,797,836,121,831,374,848
  5. Step 5: Solve for x
    x = 2,275,641,797,836,121,831,374,848/689,333,833,964
  6. Step 6: Final answer
    x = 3,301,218,779,223.55

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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.