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Finding the Third Proportional to 53,746,911 and 114,533,768.25

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Solution

The third proportional to 53,746,911 and 114,533,768.25 is: 244,069,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746,911 : 114,533,768.25 = 114,533,768.25 : x
  2. Step 2: Convert to fraction form
    53,746,911/114,533,768.25 = 114,533,768.25/x
  3. Step 3: Cross multiply
    53,746,911x = 114,533,768.25 × 114,533,768.25
  4. Step 4: Simplify right side
    53,746,911x = 13,117,984,069,544,708
  5. Step 5: Solve for x
    x = 13,117,984,069,544,708/53,746,911
  6. Step 6: Final answer
    x = 244,069,544.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.