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Finding the Third Proportional to 2,861,190,945 and 3,864,507,421.50

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Solution

The third proportional to 2,861,190,945 and 3,864,507,421.50 is: 5,219,650,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,190,945 : 3,864,507,421.50 = 3,864,507,421.50 : x
  2. Step 2: Convert to fraction form
    2,861,190,945/3,864,507,421.50 = 3,864,507,421.50/x
  3. Step 3: Cross multiply
    2,861,190,945x = 3,864,507,421.50 × 3,864,507,421.50
  4. Step 4: Simplify right side
    2,861,190,945x = 14,934,417,610,828,578,816
  5. Step 5: Solve for x
    x = 14,934,417,610,828,578,816/2,861,190,945
  6. Step 6: Final answer
    x = 5,219,650,802.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.