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Finding the Third Proportional to 4,346,012,594 and 9,414,025,588

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Solution

The third proportional to 4,346,012,594 and 9,414,025,588 is: 20,391,997,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346,012,594 : 9,414,025,588 = 9,414,025,588 : x
  2. Step 2: Convert to fraction form
    4,346,012,594/9,414,025,588 = 9,414,025,588/x
  3. Step 3: Cross multiply
    4,346,012,594x = 9,414,025,588 × 9,414,025,588
  4. Step 4: Simplify right side
    4,346,012,594x = 88,623,877,771,518,738,432
  5. Step 5: Solve for x
    x = 88,623,877,771,518,738,432/4,346,012,594
  6. Step 6: Final answer
    x = 20,391,997,458.51

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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.