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Finding the Third Proportional to 2,763,036,618 and 6,010,186,464

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Solution

The third proportional to 2,763,036,618 and 6,010,186,464 is: 13,073,421,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763,036,618 : 6,010,186,464 = 6,010,186,464 : x
  2. Step 2: Convert to fraction form
    2,763,036,618/6,010,186,464 = 6,010,186,464/x
  3. Step 3: Cross multiply
    2,763,036,618x = 6,010,186,464 × 6,010,186,464
  4. Step 4: Simplify right side
    2,763,036,618x = 36,122,341,332,048,822,272
  5. Step 5: Solve for x
    x = 36,122,341,332,048,822,272/2,763,036,618
  6. Step 6: Final answer
    x = 13,073,421,139.89

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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.