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Finding the Third Proportional to 9,646,352 and 14,929,690

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Solution

The third proportional to 9,646,352 and 14,929,690 is: 23,106,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,352 : 14,929,690 = 14,929,690 : x
  2. Step 2: Convert to fraction form
    9,646,352/14,929,690 = 14,929,690/x
  3. Step 3: Cross multiply
    9,646,352x = 14,929,690 × 14,929,690
  4. Step 4: Simplify right side
    9,646,352x = 222,895,643,496,100
  5. Step 5: Solve for x
    x = 222,895,643,496,100/9,646,352
  6. Step 6: Final answer
    x = 23,106,729.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.