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Finding the Third Proportional to 3,450,314,210 and 4,933,989,699

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Solution

The third proportional to 3,450,314,210 and 4,933,989,699 is: 7,055,663,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450,314,210 : 4,933,989,699 = 4,933,989,699 : x
  2. Step 2: Convert to fraction form
    3,450,314,210/4,933,989,699 = 4,933,989,699/x
  3. Step 3: Cross multiply
    3,450,314,210x = 4,933,989,699 × 4,933,989,699
  4. Step 4: Simplify right side
    3,450,314,210x = 24,344,254,349,838,110,720
  5. Step 5: Solve for x
    x = 24,344,254,349,838,110,720/3,450,314,210
  6. Step 6: Final answer
    x = 7,055,663,011.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.