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Finding the Third Proportional to 21,545,046 and 46,076,073.75

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Solution

The third proportional to 21,545,046 and 46,076,073.75 is: 98,537,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545,046 : 46,076,073.75 = 46,076,073.75 : x
  2. Step 2: Convert to fraction form
    21,545,046/46,076,073.75 = 46,076,073.75/x
  3. Step 3: Cross multiply
    21,545,046x = 46,076,073.75 × 46,076,073.75
  4. Step 4: Simplify right side
    21,545,046x = 2,123,004,572,215,439
  5. Step 5: Solve for x
    x = 2,123,004,572,215,439/21,545,046
  6. Step 6: Final answer
    x = 98,537,945.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.