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Finding the Third Proportional to 84,762,864 and 183,074,112

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Solution

The third proportional to 84,762,864 and 183,074,112 is: 395,410,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762,864 : 183,074,112 = 183,074,112 : x
  2. Step 2: Convert to fraction form
    84,762,864/183,074,112 = 183,074,112/x
  3. Step 3: Cross multiply
    84,762,864x = 183,074,112 × 183,074,112
  4. Step 4: Simplify right side
    84,762,864x = 33,516,130,484,588,544
  5. Step 5: Solve for x
    x = 33,516,130,484,588,544/84,762,864
  6. Step 6: Final answer
    x = 395,410,547.77

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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.