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Finding the Third Proportional to 9,684,669 and 14,475,312

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Solution

The third proportional to 9,684,669 and 14,475,312 is: 21,635,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684,669 : 14,475,312 = 14,475,312 : x
  2. Step 2: Convert to fraction form
    9,684,669/14,475,312 = 14,475,312/x
  3. Step 3: Cross multiply
    9,684,669x = 14,475,312 × 14,475,312
  4. Step 4: Simplify right side
    9,684,669x = 209,534,657,497,344
  5. Step 5: Solve for x
    x = 209,534,657,497,344/9,684,669
  6. Step 6: Final answer
    x = 21,635,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.