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Finding the Third Proportional to 14,730,958 and 34,724,963.50

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Solution

The third proportional to 14,730,958 and 34,724,963.50 is: 81,856,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730,958 : 34,724,963.50 = 34,724,963.50 : x
  2. Step 2: Convert to fraction form
    14,730,958/34,724,963.50 = 34,724,963.50/x
  3. Step 3: Cross multiply
    14,730,958x = 34,724,963.50 × 34,724,963.50
  4. Step 4: Simplify right side
    14,730,958x = 1,205,823,090,076,332.25
  5. Step 5: Solve for x
    x = 1,205,823,090,076,332.25/14,730,958
  6. Step 6: Final answer
    x = 81,856,393.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.