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Finding the Third Proportional to 4,358,142,063 and 6,115,336,967.25

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Solution

The third proportional to 4,358,142,063 and 6,115,336,967.25 is: 8,581,029,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358,142,063 : 6,115,336,967.25 = 6,115,336,967.25 : x
  2. Step 2: Convert to fraction form
    4,358,142,063/6,115,336,967.25 = 6,115,336,967.25/x
  3. Step 3: Cross multiply
    4,358,142,063x = 6,115,336,967.25 × 6,115,336,967.25
  4. Step 4: Simplify right side
    4,358,142,063x = 37,397,346,223,014,428,672
  5. Step 5: Solve for x
    x = 37,397,346,223,014,428,672/4,358,142,063
  6. Step 6: Final answer
    x = 8,581,029,641.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.