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Finding the Third Proportional to 47,763,984 and 103,637,363

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Solution

The third proportional to 47,763,984 and 103,637,363 is: 224,870,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,984 : 103,637,363 = 103,637,363 : x
  2. Step 2: Convert to fraction form
    47,763,984/103,637,363 = 103,637,363/x
  3. Step 3: Cross multiply
    47,763,984x = 103,637,363 × 103,637,363
  4. Step 4: Simplify right side
    47,763,984x = 10,740,703,009,593,768
  5. Step 5: Solve for x
    x = 10,740,703,009,593,768/47,763,984
  6. Step 6: Final answer
    x = 224,870,333.46

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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.