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Finding the Third Proportional to 284,244,898,017 and 632,042,898,739.50

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Solution

The third proportional to 284,244,898,017 and 632,042,898,739.50 is: 1,405,401,569,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244,898,017 : 632,042,898,739.50 = 632,042,898,739.50 : x
  2. Step 2: Convert to fraction form
    284,244,898,017/632,042,898,739.50 = 632,042,898,739.50/x
  3. Step 3: Cross multiply
    284,244,898,017x = 632,042,898,739.50 × 632,042,898,739.50
  4. Step 4: Simplify right side
    284,244,898,017x = 399,478,225,847,029,852,012,544
  5. Step 5: Solve for x
    x = 399,478,225,847,029,852,012,544/284,244,898,017
  6. Step 6: Final answer
    x = 1,405,401,569,681.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.