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Finding the Third Proportional to 310,901,967 and 664,850,655

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Solution

The third proportional to 310,901,967 and 664,850,655 is: 1,421,754,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901,967 : 664,850,655 = 664,850,655 : x
  2. Step 2: Convert to fraction form
    310,901,967/664,850,655 = 664,850,655/x
  3. Step 3: Cross multiply
    310,901,967x = 664,850,655 × 664,850,655
  4. Step 4: Simplify right side
    310,901,967x = 442,026,393,453,929,024
  5. Step 5: Solve for x
    x = 442,026,393,453,929,024/310,901,967
  6. Step 6: Final answer
    x = 1,421,754,895.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.