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Finding the Third Proportional to 240,022,738 and 523,656,618

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Solution

The third proportional to 240,022,738 and 523,656,618 is: 1,142,459,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,022,738 : 523,656,618 = 523,656,618 : x
  2. Step 2: Convert to fraction form
    240,022,738/523,656,618 = 523,656,618/x
  3. Step 3: Cross multiply
    240,022,738x = 523,656,618 × 523,656,618
  4. Step 4: Simplify right side
    240,022,738x = 274,216,253,575,197,920
  5. Step 5: Solve for x
    x = 274,216,253,575,197,920/240,022,738
  6. Step 6: Final answer
    x = 1,142,459,484.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.