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Finding the Third Proportional to 9,686,089 and 20,376,038

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Solution

The third proportional to 9,686,089 and 20,376,038 is: 42,863,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,089 : 20,376,038 = 20,376,038 : x
  2. Step 2: Convert to fraction form
    9,686,089/20,376,038 = 20,376,038/x
  3. Step 3: Cross multiply
    9,686,089x = 20,376,038 × 20,376,038
  4. Step 4: Simplify right side
    9,686,089x = 415,182,924,577,444
  5. Step 5: Solve for x
    x = 415,182,924,577,444/9,686,089
  6. Step 6: Final answer
    x = 42,863,835.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.