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Finding the Third Proportional to 6,787,732 and 14,637,618

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Solution

The third proportional to 6,787,732 and 14,637,618 is: 31,565,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,732 : 14,637,618 = 14,637,618 : x
  2. Step 2: Convert to fraction form
    6,787,732/14,637,618 = 14,637,618/x
  3. Step 3: Cross multiply
    6,787,732x = 14,637,618 × 14,637,618
  4. Step 4: Simplify right side
    6,787,732x = 214,259,860,713,924
  5. Step 5: Solve for x
    x = 214,259,860,713,924/6,787,732
  6. Step 6: Final answer
    x = 31,565,751.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.