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Finding the Third Proportional to 709,772,988 and 1,553,122,104

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Solution

The third proportional to 709,772,988 and 1,553,122,104 is: 3,398,534,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,772,988 : 1,553,122,104 = 1,553,122,104 : x
  2. Step 2: Convert to fraction form
    709,772,988/1,553,122,104 = 1,553,122,104/x
  3. Step 3: Cross multiply
    709,772,988x = 1,553,122,104 × 1,553,122,104
  4. Step 4: Simplify right side
    709,772,988x = 2,412,188,269,933,386,752
  5. Step 5: Solve for x
    x = 2,412,188,269,933,386,752/709,772,988
  6. Step 6: Final answer
    x = 3,398,534,898.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.