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Finding the Third Proportional to 18,828,465,023.25 and 40,966,507,399.50

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Solution

The third proportional to 18,828,465,023.25 and 40,966,507,399.50 is: 89,133,911,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828,465,023.25 : 40,966,507,399.50 = 40,966,507,399.50 : x
  2. Step 2: Convert to fraction form
    18,828,465,023.25/40,966,507,399.50 = 40,966,507,399.50/x
  3. Step 3: Cross multiply
    18,828,465,023.25x = 40,966,507,399.50 × 40,966,507,399.50
  4. Step 4: Simplify right side
    18,828,465,023.25x = 1,678,254,728,513,288,142,848
  5. Step 5: Solve for x
    x = 1,678,254,728,513,288,142,848/18,828,465,023.25
  6. Step 6: Final answer
    x = 89,133,911,152.13

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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.