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Finding the Third Proportional to 53,968,762 and 82,902,618

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Solution

The third proportional to 53,968,762 and 82,902,618 is: 127,348,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968,762 : 82,902,618 = 82,902,618 : x
  2. Step 2: Convert to fraction form
    53,968,762/82,902,618 = 82,902,618/x
  3. Step 3: Cross multiply
    53,968,762x = 82,902,618 × 82,902,618
  4. Step 4: Simplify right side
    53,968,762x = 6,872,844,071,253,924
  5. Step 5: Solve for x
    x = 6,872,844,071,253,924/53,968,762
  6. Step 6: Final answer
    x = 127,348,558.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.