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Finding the Third Proportional to 47,763,984 and 103,637,364

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Solution

The third proportional to 47,763,984 and 103,637,364 is: 224,870,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,984 : 103,637,364 = 103,637,364 : x
  2. Step 2: Convert to fraction form
    47,763,984/103,637,364 = 103,637,364/x
  3. Step 3: Cross multiply
    47,763,984x = 103,637,364 × 103,637,364
  4. Step 4: Simplify right side
    47,763,984x = 10,740,703,216,868,496
  5. Step 5: Solve for x
    x = 10,740,703,216,868,496/47,763,984
  6. Step 6: Final answer
    x = 224,870,337.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.