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Finding the Third Proportional to 64,004,994 and 138,017,988

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Solution

The third proportional to 64,004,994 and 138,017,988 is: 297,616,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004,994 : 138,017,988 = 138,017,988 : x
  2. Step 2: Convert to fraction form
    64,004,994/138,017,988 = 138,017,988/x
  3. Step 3: Cross multiply
    64,004,994x = 138,017,988 × 138,017,988
  4. Step 4: Simplify right side
    64,004,994x = 19,048,965,011,568,144
  5. Step 5: Solve for x
    x = 19,048,965,011,568,144/64,004,994
  6. Step 6: Final answer
    x = 297,616,854.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.