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Finding the Third Proportional to 209,699,545,536 and 462,142,536,624

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Solution

The third proportional to 209,699,545,536 and 462,142,536,624 is: 1,018,484,439,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,699,545,536 : 462,142,536,624 = 462,142,536,624 : x
  2. Step 2: Convert to fraction form
    209,699,545,536/462,142,536,624 = 462,142,536,624/x
  3. Step 3: Cross multiply
    209,699,545,536x = 462,142,536,624 × 462,142,536,624
  4. Step 4: Simplify right side
    209,699,545,536x = 213,575,724,157,265,191,632,896
  5. Step 5: Solve for x
    x = 213,575,724,157,265,191,632,896/209,699,545,536
  6. Step 6: Final answer
    x = 1,018,484,439,779.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.