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Finding the Third Proportional to 264,932,596,402 and 577,815,204,558

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Solution

The third proportional to 264,932,596,402 and 577,815,204,558 is: 1,260,208,880,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932,596,402 : 577,815,204,558 = 577,815,204,558 : x
  2. Step 2: Convert to fraction form
    264,932,596,402/577,815,204,558 = 577,815,204,558/x
  3. Step 3: Cross multiply
    264,932,596,402x = 577,815,204,558 × 577,815,204,558
  4. Step 4: Simplify right side
    264,932,596,402x = 333,870,410,618,403,385,507,840
  5. Step 5: Solve for x
    x = 333,870,410,618,403,385,507,840/264,932,596,402
  6. Step 6: Final answer
    x = 1,260,208,880,117.57

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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.