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Finding the Third Proportional to 270,354,971 and 555,042,142

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Solution

The third proportional to 270,354,971 and 555,042,142 is: 1,139,508,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,971 : 555,042,142 = 555,042,142 : x
  2. Step 2: Convert to fraction form
    270,354,971/555,042,142 = 555,042,142/x
  3. Step 3: Cross multiply
    270,354,971x = 555,042,142 × 555,042,142
  4. Step 4: Simplify right side
    270,354,971x = 308,071,779,395,948,160
  5. Step 5: Solve for x
    x = 308,071,779,395,948,160/270,354,971
  6. Step 6: Final answer
    x = 1,139,508,470.13

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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.