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Finding the Third Proportional to 9,070,970 and 19,584,954

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Solution

The third proportional to 9,070,970 and 19,584,954 is: 42,285,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070,970 : 19,584,954 = 19,584,954 : x
  2. Step 2: Convert to fraction form
    9,070,970/19,584,954 = 19,584,954/x
  3. Step 3: Cross multiply
    9,070,970x = 19,584,954 × 19,584,954
  4. Step 4: Simplify right side
    9,070,970x = 383,570,423,182,116
  5. Step 5: Solve for x
    x = 383,570,423,182,116/9,070,970
  6. Step 6: Final answer
    x = 42,285,491.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.