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Finding the Third Proportional to 9,584,740.13 and 14,476,902.19

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Solution

The third proportional to 9,584,740.13 and 14,476,902.19 is: 21,866,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,740.13 : 14,476,902.19 = 14,476,902.19 : x
  2. Step 2: Convert to fraction form
    9,584,740.13/14,476,902.19 = 14,476,902.19/x
  3. Step 3: Cross multiply
    9,584,740.13x = 14,476,902.19 × 14,476,902.19
  4. Step 4: Simplify right side
    9,584,740.13x = 209,580,696,946,442.28
  5. Step 5: Solve for x
    x = 209,580,696,946,442.28/9,584,740.13
  6. Step 6: Final answer
    x = 21,866,080.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.