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Finding the Third Proportional to 46,770,036,699 and 96,019,495,071

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Solution

The third proportional to 46,770,036,699 and 96,019,495,071 is: 197,129,275,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770,036,699 : 96,019,495,071 = 96,019,495,071 : x
  2. Step 2: Convert to fraction form
    46,770,036,699/96,019,495,071 = 96,019,495,071/x
  3. Step 3: Cross multiply
    46,770,036,699x = 96,019,495,071 × 96,019,495,071
  4. Step 4: Simplify right side
    46,770,036,699x = 9,219,743,433,689,793,560,576
  5. Step 5: Solve for x
    x = 9,219,743,433,689,793,560,576/46,770,036,699
  6. Step 6: Final answer
    x = 197,129,275,160.20

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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.