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Finding the Third Proportional to 781,256,260 and 1,669,957,036

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Solution

The third proportional to 781,256,260 and 1,669,957,036 is: 3,569,579,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,256,260 : 1,669,957,036 = 1,669,957,036 : x
  2. Step 2: Convert to fraction form
    781,256,260/1,669,957,036 = 1,669,957,036/x
  3. Step 3: Cross multiply
    781,256,260x = 1,669,957,036 × 1,669,957,036
  4. Step 4: Simplify right side
    781,256,260x = 2,788,756,502,085,905,408
  5. Step 5: Solve for x
    x = 2,788,756,502,085,905,408/781,256,260
  6. Step 6: Final answer
    x = 3,569,579,720.34

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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.