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Finding the Third Proportional to 658,064,030 and 1,429,408,828

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Solution

The third proportional to 658,064,030 and 1,429,408,828 is: 3,104,879,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,064,030 : 1,429,408,828 = 1,429,408,828 : x
  2. Step 2: Convert to fraction form
    658,064,030/1,429,408,828 = 1,429,408,828/x
  3. Step 3: Cross multiply
    658,064,030x = 1,429,408,828 × 1,429,408,828
  4. Step 4: Simplify right side
    658,064,030x = 2,043,209,597,564,333,568
  5. Step 5: Solve for x
    x = 2,043,209,597,564,333,568/658,064,030
  6. Step 6: Final answer
    x = 3,104,879,623.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.