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Finding the Third Proportional to 270,354,968 and 555,042,136

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Solution

The third proportional to 270,354,968 and 555,042,136 is: 1,139,508,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,968 : 555,042,136 = 555,042,136 : x
  2. Step 2: Convert to fraction form
    270,354,968/555,042,136 = 555,042,136/x
  3. Step 3: Cross multiply
    270,354,968x = 555,042,136 × 555,042,136
  4. Step 4: Simplify right side
    270,354,968x = 308,071,772,735,442,496
  5. Step 5: Solve for x
    x = 308,071,772,735,442,496/270,354,968
  6. Step 6: Final answer
    x = 1,139,508,458.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.