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Finding the Third Proportional to 6,411,428 and 13,538,248

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Solution

The third proportional to 6,411,428 and 13,538,248 is: 28,587,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,428 : 13,538,248 = 13,538,248 : x
  2. Step 2: Convert to fraction form
    6,411,428/13,538,248 = 13,538,248/x
  3. Step 3: Cross multiply
    6,411,428x = 13,538,248 × 13,538,248
  4. Step 4: Simplify right side
    6,411,428x = 183,284,158,909,504
  5. Step 5: Solve for x
    x = 183,284,158,909,504/6,411,428
  6. Step 6: Final answer
    x = 28,587,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.