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Finding the Third Proportional to 8,574,235,020 and 17,853,097,239

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Solution

The third proportional to 8,574,235,020 and 17,853,097,239 is: 37,173,354,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574,235,020 : 17,853,097,239 = 17,853,097,239 : x
  2. Step 2: Convert to fraction form
    8,574,235,020/17,853,097,239 = 17,853,097,239/x
  3. Step 3: Cross multiply
    8,574,235,020x = 17,853,097,239 × 17,853,097,239
  4. Step 4: Simplify right side
    8,574,235,020x = 318,733,081,025,189,445,632
  5. Step 5: Solve for x
    x = 318,733,081,025,189,445,632/8,574,235,020
  6. Step 6: Final answer
    x = 37,173,354,856.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.