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Finding the Third Proportional to 9,163,152 and 19,742,502

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Solution

The third proportional to 9,163,152 and 19,742,502 is: 42,536,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163,152 : 19,742,502 = 19,742,502 : x
  2. Step 2: Convert to fraction form
    9,163,152/19,742,502 = 19,742,502/x
  3. Step 3: Cross multiply
    9,163,152x = 19,742,502 × 19,742,502
  4. Step 4: Simplify right side
    9,163,152x = 389,766,385,220,004
  5. Step 5: Solve for x
    x = 389,766,385,220,004/9,163,152
  6. Step 6: Final answer
    x = 42,536,278.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.