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Finding the Third Proportional to 9,476,900 and 13,506,486

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Solution

The third proportional to 9,476,900 and 13,506,486 is: 19,249,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,900 : 13,506,486 = 13,506,486 : x
  2. Step 2: Convert to fraction form
    9,476,900/13,506,486 = 13,506,486/x
  3. Step 3: Cross multiply
    9,476,900x = 13,506,486 × 13,506,486
  4. Step 4: Simplify right side
    9,476,900x = 182,425,164,068,196
  5. Step 5: Solve for x
    x = 182,425,164,068,196/9,476,900
  6. Step 6: Final answer
    x = 19,249,455.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.