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Finding the Third Proportional to 407,956,054.50 and 874,121,503.50

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Solution

The third proportional to 407,956,054.50 and 874,121,503.50 is: 1,872,967,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,956,054.50 : 874,121,503.50 = 874,121,503.50 : x
  2. Step 2: Convert to fraction form
    407,956,054.50/874,121,503.50 = 874,121,503.50/x
  3. Step 3: Cross multiply
    407,956,054.50x = 874,121,503.50 × 874,121,503.50
  4. Step 4: Simplify right side
    407,956,054.50x = 764,088,402,881,100,544
  5. Step 5: Solve for x
    x = 764,088,402,881,100,544/407,956,054.50
  6. Step 6: Final answer
    x = 1,872,967,429.83

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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.