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Finding the Third Proportional to 48,837,563,937 and 105,788,537,976

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Solution

The third proportional to 48,837,563,937 and 105,788,537,976 is: 229,151,781,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,837,563,937 : 105,788,537,976 = 105,788,537,976 : x
  2. Step 2: Convert to fraction form
    48,837,563,937/105,788,537,976 = 105,788,537,976/x
  3. Step 3: Cross multiply
    48,837,563,937x = 105,788,537,976 × 105,788,537,976
  4. Step 4: Simplify right side
    48,837,563,937x = 11,191,214,767,099,594,407,936
  5. Step 5: Solve for x
    x = 11,191,214,767,099,594,407,936/48,837,563,937
  6. Step 6: Final answer
    x = 229,151,781,230.04

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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.