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Finding the Third Proportional to 46,615,665 and 73,126,222.50

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Solution

The third proportional to 46,615,665 and 73,126,222.50 is: 114,713,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,615,665 : 73,126,222.50 = 73,126,222.50 : x
  2. Step 2: Convert to fraction form
    46,615,665/73,126,222.50 = 73,126,222.50/x
  3. Step 3: Cross multiply
    46,615,665x = 73,126,222.50 × 73,126,222.50
  4. Step 4: Simplify right side
    46,615,665x = 5,347,444,417,119,506
  5. Step 5: Solve for x
    x = 5,347,444,417,119,506/46,615,665
  6. Step 6: Final answer
    x = 114,713,464.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.