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Finding the Third Proportional to 30,475,277 and 65,083,618

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Solution

The third proportional to 30,475,277 and 65,083,618 is: 138,993,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,277 : 65,083,618 = 65,083,618 : x
  2. Step 2: Convert to fraction form
    30,475,277/65,083,618 = 65,083,618/x
  3. Step 3: Cross multiply
    30,475,277x = 65,083,618 × 65,083,618
  4. Step 4: Simplify right side
    30,475,277x = 4,235,877,331,969,924
  5. Step 5: Solve for x
    x = 4,235,877,331,969,924/30,475,277
  6. Step 6: Final answer
    x = 138,993,891.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.