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Finding the Third Proportional to 5,209,499,904 and 11,175,243,840

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Solution

The third proportional to 5,209,499,904 and 11,175,243,840 is: 23,972,756,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,499,904 : 11,175,243,840 = 11,175,243,840 : x
  2. Step 2: Convert to fraction form
    5,209,499,904/11,175,243,840 = 11,175,243,840/x
  3. Step 3: Cross multiply
    5,209,499,904x = 11,175,243,840 × 11,175,243,840
  4. Step 4: Simplify right side
    5,209,499,904x = 124,886,074,883,457,941,504
  5. Step 5: Solve for x
    x = 124,886,074,883,457,941,504/5,209,499,904
  6. Step 6: Final answer
    x = 23,972,756,921.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.