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Finding the Third Proportional to 13,286,271 and 21,695,098.50

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Solution

The third proportional to 13,286,271 and 21,695,098.50 is: 35,425,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286,271 : 21,695,098.50 = 21,695,098.50 : x
  2. Step 2: Convert to fraction form
    13,286,271/21,695,098.50 = 21,695,098.50/x
  3. Step 3: Cross multiply
    13,286,271x = 21,695,098.50 × 21,695,098.50
  4. Step 4: Simplify right side
    13,286,271x = 470,677,298,924,702.25
  5. Step 5: Solve for x
    x = 470,677,298,924,702.25/13,286,271
  6. Step 6: Final answer
    x = 35,425,839.12

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.