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Finding the Third Proportional to 438,841,664 and 943,727,488

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Solution

The third proportional to 438,841,664 and 943,727,488 is: 2,029,482,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,841,664 : 943,727,488 = 943,727,488 : x
  2. Step 2: Convert to fraction form
    438,841,664/943,727,488 = 943,727,488/x
  3. Step 3: Cross multiply
    438,841,664x = 943,727,488 × 943,727,488
  4. Step 4: Simplify right side
    438,841,664x = 890,621,571,606,790,144
  5. Step 5: Solve for x
    x = 890,621,571,606,790,144/438,841,664
  6. Step 6: Final answer
    x = 2,029,482,714.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.