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Finding the Third Proportional to 1,187,551,121 and 2,456,563,618

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Solution

The third proportional to 1,187,551,121 and 2,456,563,618 is: 5,081,637,920.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,551,121 : 2,456,563,618 = 2,456,563,618 : x
  2. Step 2: Convert to fraction form
    1,187,551,121/2,456,563,618 = 2,456,563,618/x
  3. Step 3: Cross multiply
    1,187,551,121x = 2,456,563,618 × 2,456,563,618
  4. Step 4: Simplify right side
    1,187,551,121x = 6,034,704,809,281,250,304
  5. Step 5: Solve for x
    x = 6,034,704,809,281,250,304/1,187,551,121
  6. Step 6: Final answer
    x = 5,081,637,920.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.