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Finding the Third Proportional to 53,354,900 and 114,798,784

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Solution

The third proportional to 53,354,900 and 114,798,784 is: 247,001,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,354,900 : 114,798,784 = 114,798,784 : x
  2. Step 2: Convert to fraction form
    53,354,900/114,798,784 = 114,798,784/x
  3. Step 3: Cross multiply
    53,354,900x = 114,798,784 × 114,798,784
  4. Step 4: Simplify right side
    53,354,900x = 13,178,760,807,878,656
  5. Step 5: Solve for x
    x = 13,178,760,807,878,656/53,354,900
  6. Step 6: Final answer
    x = 247,001,883.76

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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.