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Finding the Third Proportional to 346,815,678 and 569,350,125

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Solution

The third proportional to 346,815,678 and 569,350,125 is: 934,673,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,815,678 : 569,350,125 = 569,350,125 : x
  2. Step 2: Convert to fraction form
    346,815,678/569,350,125 = 569,350,125/x
  3. Step 3: Cross multiply
    346,815,678x = 569,350,125 × 569,350,125
  4. Step 4: Simplify right side
    346,815,678x = 324,159,564,837,515,648
  5. Step 5: Solve for x
    x = 324,159,564,837,515,648/346,815,678
  6. Step 6: Final answer
    x = 934,673,907.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.