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Finding the Third Proportional to 243,294,842 and 503,835,273

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Solution

The third proportional to 243,294,842 and 503,835,273 is: 1,043,384,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,294,842 : 503,835,273 = 503,835,273 : x
  2. Step 2: Convert to fraction form
    243,294,842/503,835,273 = 503,835,273/x
  3. Step 3: Cross multiply
    243,294,842x = 503,835,273 × 503,835,273
  4. Step 4: Simplify right side
    243,294,842x = 253,849,982,318,984,544
  5. Step 5: Solve for x
    x = 253,849,982,318,984,544/243,294,842
  6. Step 6: Final answer
    x = 1,043,384,151.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.