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Finding the Third Proportional to 9,133,743 and 19,875,397.50

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Solution

The third proportional to 9,133,743 and 19,875,397.50 is: 43,249,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133,743 : 19,875,397.50 = 19,875,397.50 : x
  2. Step 2: Convert to fraction form
    9,133,743/19,875,397.50 = 19,875,397.50/x
  3. Step 3: Cross multiply
    9,133,743x = 19,875,397.50 × 19,875,397.50
  4. Step 4: Simplify right side
    9,133,743x = 395,031,425,783,006.25
  5. Step 5: Solve for x
    x = 395,031,425,783,006.25/9,133,743
  6. Step 6: Final answer
    x = 43,249,676.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.