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Finding the Third Proportional to 538,390,130 and 1,168,666,042

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Solution

The third proportional to 538,390,130 and 1,168,666,042 is: 2,536,785,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,390,130 : 1,168,666,042 = 1,168,666,042 : x
  2. Step 2: Convert to fraction form
    538,390,130/1,168,666,042 = 1,168,666,042/x
  3. Step 3: Cross multiply
    538,390,130x = 1,168,666,042 × 1,168,666,042
  4. Step 4: Simplify right side
    538,390,130x = 1,365,780,317,723,945,728
  5. Step 5: Solve for x
    x = 1,365,780,317,723,945,728/538,390,130
  6. Step 6: Final answer
    x = 2,536,785,579.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.