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Finding the Third Proportional to 21,730,432.50 and 46,051,639.59

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Solution

The third proportional to 21,730,432.50 and 46,051,639.59 is: 97,593,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730,432.50 : 46,051,639.59 = 46,051,639.59 : x
  2. Step 2: Convert to fraction form
    21,730,432.50/46,051,639.59 = 46,051,639.59/x
  3. Step 3: Cross multiply
    21,730,432.50x = 46,051,639.59 × 46,051,639.59
  4. Step 4: Simplify right side
    21,730,432.50x = 2,120,753,509,272,642.75
  5. Step 5: Solve for x
    x = 2,120,753,509,272,642.75/21,730,432.50
  6. Step 6: Final answer
    x = 97,593,709.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.