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Finding the Third Proportional to 49,533,934,344 and 107,774,531,472

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Solution

The third proportional to 49,533,934,344 and 107,774,531,472 is: 234,492,773,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533,934,344 : 107,774,531,472 = 107,774,531,472 : x
  2. Step 2: Convert to fraction form
    49,533,934,344/107,774,531,472 = 107,774,531,472/x
  3. Step 3: Cross multiply
    49,533,934,344x = 107,774,531,472 × 107,774,531,472
  4. Step 4: Simplify right side
    49,533,934,344x = 11,615,349,634,009,118,277,632
  5. Step 5: Solve for x
    x = 11,615,349,634,009,118,277,632/49,533,934,344
  6. Step 6: Final answer
    x = 234,492,773,243.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.