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Finding the Third Proportional to 19,913,685 and 30,754,897.50

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Solution

The third proportional to 19,913,685 and 30,754,897.50 is: 47,498,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913,685 : 30,754,897.50 = 30,754,897.50 : x
  2. Step 2: Convert to fraction form
    19,913,685/30,754,897.50 = 30,754,897.50/x
  3. Step 3: Cross multiply
    19,913,685x = 30,754,897.50 × 30,754,897.50
  4. Step 4: Simplify right side
    19,913,685x = 945,863,720,235,506.25
  5. Step 5: Solve for x
    x = 945,863,720,235,506.25/19,913,685
  6. Step 6: Final answer
    x = 47,498,176.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.