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Finding the Third Proportional to 76,102,827 and 117,651,618

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Solution

The third proportional to 76,102,827 and 117,651,618 is: 181,884,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102,827 : 117,651,618 = 117,651,618 : x
  2. Step 2: Convert to fraction form
    76,102,827/117,651,618 = 117,651,618/x
  3. Step 3: Cross multiply
    76,102,827x = 117,651,618 × 117,651,618
  4. Step 4: Simplify right side
    76,102,827x = 13,841,903,218,017,924
  5. Step 5: Solve for x
    x = 13,841,903,218,017,924/76,102,827
  6. Step 6: Final answer
    x = 181,884,218.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.