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Finding the Third Proportional to 270,354,631.50 and 555,041,585.25

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Solution

The third proportional to 270,354,631.50 and 555,041,585.25 is: 1,139,507,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,354,631.50 : 555,041,585.25 = 555,041,585.25 : x
  2. Step 2: Convert to fraction form
    270,354,631.50/555,041,585.25 = 555,041,585.25/x
  3. Step 3: Cross multiply
    270,354,631.50x = 555,041,585.25 × 555,041,585.25
  4. Step 4: Simplify right side
    270,354,631.50x = 308,071,161,356,833,024
  5. Step 5: Solve for x
    x = 308,071,161,356,833,024/270,354,631.50
  6. Step 6: Final answer
    x = 1,139,507,615.04

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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.