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Finding the Third Proportional to 431,837,151 and 932,485,558.50

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Solution

The third proportional to 431,837,151 and 932,485,558.50 is: 2,013,558,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,837,151 : 932,485,558.50 = 932,485,558.50 : x
  2. Step 2: Convert to fraction form
    431,837,151/932,485,558.50 = 932,485,558.50/x
  3. Step 3: Cross multiply
    431,837,151x = 932,485,558.50 × 932,485,558.50
  4. Step 4: Simplify right side
    431,837,151x = 869,529,316,811,056,896
  5. Step 5: Solve for x
    x = 869,529,316,811,056,896/431,837,151
  6. Step 6: Final answer
    x = 2,013,558,386.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.