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Finding the Third Proportional to 53,316,634,173 and 111,046,254,809

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Solution

The third proportional to 53,316,634,173 and 111,046,254,809 is: 231,283,742,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,316,634,173 : 111,046,254,809 = 111,046,254,809 : x
  2. Step 2: Convert to fraction form
    53,316,634,173/111,046,254,809 = 111,046,254,809/x
  3. Step 3: Cross multiply
    53,316,634,173x = 111,046,254,809 × 111,046,254,809
  4. Step 4: Simplify right side
    53,316,634,173x = 12,331,270,707,105,356,578,816
  5. Step 5: Solve for x
    x = 12,331,270,707,105,356,578,816/53,316,634,173
  6. Step 6: Final answer
    x = 231,283,742,838.93

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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.