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Finding the Third Proportional to 243,277,374 and 503,801,065.50

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Solution

The third proportional to 243,277,374 and 503,801,065.50 is: 1,043,317,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,277,374 : 503,801,065.50 = 503,801,065.50 : x
  2. Step 2: Convert to fraction form
    243,277,374/503,801,065.50 = 503,801,065.50/x
  3. Step 3: Cross multiply
    243,277,374x = 503,801,065.50 × 503,801,065.50
  4. Step 4: Simplify right side
    243,277,374x = 253,815,513,598,935,296
  5. Step 5: Solve for x
    x = 253,815,513,598,935,296/243,277,374
  6. Step 6: Final answer
    x = 1,043,317,384.70

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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.