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Finding the Third Proportional to 1,072,345,842 and 2,314,064,628

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Solution

The third proportional to 1,072,345,842 and 2,314,064,628 is: 4,993,626,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,345,842 : 2,314,064,628 = 2,314,064,628 : x
  2. Step 2: Convert to fraction form
    1,072,345,842/2,314,064,628 = 2,314,064,628/x
  3. Step 3: Cross multiply
    1,072,345,842x = 2,314,064,628 × 2,314,064,628
  4. Step 4: Simplify right side
    1,072,345,842x = 5,354,895,102,560,778,240
  5. Step 5: Solve for x
    x = 5,354,895,102,560,778,240/1,072,345,842
  6. Step 6: Final answer
    x = 4,993,626,955.81

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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.