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Finding the Third Proportional to 30,545,501.63 and 65,870,732.25

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Solution

The third proportional to 30,545,501.63 and 65,870,732.25 is: 142,048,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545,501.63 : 65,870,732.25 = 65,870,732.25 : x
  2. Step 2: Convert to fraction form
    30,545,501.63/65,870,732.25 = 65,870,732.25/x
  3. Step 3: Cross multiply
    30,545,501.63x = 65,870,732.25 × 65,870,732.25
  4. Step 4: Simplify right side
    30,545,501.63x = 4,338,953,367,151,190
  5. Step 5: Solve for x
    x = 4,338,953,367,151,190/30,545,501.63
  6. Step 6: Final answer
    x = 142,048,849.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.