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Finding the Third Proportional to 345,382,564 and 751,279,585

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Solution

The third proportional to 345,382,564 and 751,279,585 is: 1,634,190,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,382,564 : 751,279,585 = 751,279,585 : x
  2. Step 2: Convert to fraction form
    345,382,564/751,279,585 = 751,279,585/x
  3. Step 3: Cross multiply
    345,382,564x = 751,279,585 × 751,279,585
  4. Step 4: Simplify right side
    345,382,564x = 564,421,014,837,772,224
  5. Step 5: Solve for x
    x = 564,421,014,837,772,224/345,382,564
  6. Step 6: Final answer
    x = 1,634,190,818.15

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.