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Finding the Third Proportional to 64,099,642 and 130,464,604

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Solution

The third proportional to 64,099,642 and 130,464,604 is: 265,539,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,642 : 130,464,604 = 130,464,604 : x
  2. Step 2: Convert to fraction form
    64,099,642/130,464,604 = 130,464,604/x
  3. Step 3: Cross multiply
    64,099,642x = 130,464,604 × 130,464,604
  4. Step 4: Simplify right side
    64,099,642x = 17,021,012,896,876,816
  5. Step 5: Solve for x
    x = 17,021,012,896,876,816/64,099,642
  6. Step 6: Final answer
    x = 265,539,905.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.