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Finding the Third Proportional to 745,449,070 and 1,621,796,633

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Solution

The third proportional to 745,449,070 and 1,621,796,633 is: 3,528,375,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,449,070 : 1,621,796,633 = 1,621,796,633 : x
  2. Step 2: Convert to fraction form
    745,449,070/1,621,796,633 = 1,621,796,633/x
  3. Step 3: Cross multiply
    745,449,070x = 1,621,796,633 × 1,621,796,633
  4. Step 4: Simplify right side
    745,449,070x = 2,630,224,318,810,136,576
  5. Step 5: Solve for x
    x = 2,630,224,318,810,136,576/745,449,070
  6. Step 6: Final answer
    x = 3,528,375,612.31

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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.