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Finding the Third Proportional to 857,784,629 and 1,872,876,526

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Solution

The third proportional to 857,784,629 and 1,872,876,526 is: 4,089,215,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,784,629 : 1,872,876,526 = 1,872,876,526 : x
  2. Step 2: Convert to fraction form
    857,784,629/1,872,876,526 = 1,872,876,526/x
  3. Step 3: Cross multiply
    857,784,629x = 1,872,876,526 × 1,872,876,526
  4. Step 4: Simplify right side
    857,784,629x = 3,507,666,481,641,828,864
  5. Step 5: Solve for x
    x = 3,507,666,481,641,828,864/857,784,629
  6. Step 6: Final answer
    x = 4,089,215,827.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.