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Finding the Third Proportional to 32,973,536 and 70,484,904

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Solution

The third proportional to 32,973,536 and 70,484,904 is: 150,669,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973,536 : 70,484,904 = 70,484,904 : x
  2. Step 2: Convert to fraction form
    32,973,536/70,484,904 = 70,484,904/x
  3. Step 3: Cross multiply
    32,973,536x = 70,484,904 × 70,484,904
  4. Step 4: Simplify right side
    32,973,536x = 4,968,121,691,889,216
  5. Step 5: Solve for x
    x = 4,968,121,691,889,216/32,973,536
  6. Step 6: Final answer
    x = 150,669,970.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.