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Finding the Third Proportional to 38,855,407.13 and 85,011,208.13

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Solution

The third proportional to 38,855,407.13 and 85,011,208.13 is: 185,994,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,855,407.13 : 85,011,208.13 = 85,011,208.13 : x
  2. Step 2: Convert to fraction form
    38,855,407.13/85,011,208.13 = 85,011,208.13/x
  3. Step 3: Cross multiply
    38,855,407.13x = 85,011,208.13 × 85,011,208.13
  4. Step 4: Simplify right side
    38,855,407.13x = 7,226,905,506,872,066
  5. Step 5: Solve for x
    x = 7,226,905,506,872,066/38,855,407.13
  6. Step 6: Final answer
    x = 185,994,847.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.