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Finding the Third Proportional to 18,828,465,018 and 40,966,507,387.50

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Solution

The third proportional to 18,828,465,018 and 40,966,507,387.50 is: 89,133,911,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828,465,018 : 40,966,507,387.50 = 40,966,507,387.50 : x
  2. Step 2: Convert to fraction form
    18,828,465,018/40,966,507,387.50 = 40,966,507,387.50/x
  3. Step 3: Cross multiply
    18,828,465,018x = 40,966,507,387.50 × 40,966,507,387.50
  4. Step 4: Simplify right side
    18,828,465,018x = 1,678,254,727,530,092,167,168
  5. Step 5: Solve for x
    x = 1,678,254,727,530,092,167,168/18,828,465,018
  6. Step 6: Final answer
    x = 89,133,911,124.76

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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.