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Finding the Third Proportional to 3,000,768 and 6,570,724

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Solution

The third proportional to 3,000,768 and 6,570,724 is: 14,387,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,768 : 6,570,724 = 6,570,724 : x
  2. Step 2: Convert to fraction form
    3,000,768/6,570,724 = 6,570,724/x
  3. Step 3: Cross multiply
    3,000,768x = 6,570,724 × 6,570,724
  4. Step 4: Simplify right side
    3,000,768x = 43,174,413,884,176
  5. Step 5: Solve for x
    x = 43,174,413,884,176/3,000,768
  6. Step 6: Final answer
    x = 14,387,788.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.