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Finding the Third Proportional to 630,600,012 and 1,473,366,172.50

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Solution

The third proportional to 630,600,012 and 1,473,366,172.50 is: 3,442,448,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,600,012 : 1,473,366,172.50 = 1,473,366,172.50 : x
  2. Step 2: Convert to fraction form
    630,600,012/1,473,366,172.50 = 1,473,366,172.50/x
  3. Step 3: Cross multiply
    630,600,012x = 1,473,366,172.50 × 1,473,366,172.50
  4. Step 4: Simplify right side
    630,600,012x = 2,170,807,878,267,299,840
  5. Step 5: Solve for x
    x = 2,170,807,878,267,299,840/630,600,012
  6. Step 6: Final answer
    x = 3,442,448,203.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.