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Finding the Third Proportional to 264,932,598,280 and 577,815,208,009

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Solution

The third proportional to 264,932,598,280 and 577,815,208,009 is: 1,260,208,886,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932,598,280 : 577,815,208,009 = 577,815,208,009 : x
  2. Step 2: Convert to fraction form
    264,932,598,280/577,815,208,009 = 577,815,208,009/x
  3. Step 3: Cross multiply
    264,932,598,280x = 577,815,208,009 × 577,815,208,009
  4. Step 4: Simplify right side
    264,932,598,280x = 333,870,414,606,483,926,810,624
  5. Step 5: Solve for x
    x = 333,870,414,606,483,926,810,624/264,932,598,280
  6. Step 6: Final answer
    x = 1,260,208,886,237.64

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Why These Related Problems?

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