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Finding the Third Proportional to 53,316,634,171 and 111,046,254,805

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Solution

The third proportional to 53,316,634,171 and 111,046,254,805 is: 231,283,742,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316,634,171 : 111,046,254,805 = 111,046,254,805 : x
  2. Step 2: Convert to fraction form
    53,316,634,171/111,046,254,805 = 111,046,254,805/x
  3. Step 3: Cross multiply
    53,316,634,171x = 111,046,254,805 × 111,046,254,805
  4. Step 4: Simplify right side
    53,316,634,171x = 12,331,270,706,216,986,214,400
  5. Step 5: Solve for x
    x = 12,331,270,706,216,986,214,400/53,316,634,171
  6. Step 6: Final answer
    x = 231,283,742,830.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.