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Finding the Third Proportional to 19,835,311 and 30,650,585

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Solution

The third proportional to 19,835,311 and 30,650,585 is: 47,362,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835,311 : 30,650,585 = 30,650,585 : x
  2. Step 2: Convert to fraction form
    19,835,311/30,650,585 = 30,650,585/x
  3. Step 3: Cross multiply
    19,835,311x = 30,650,585 × 30,650,585
  4. Step 4: Simplify right side
    19,835,311x = 939,458,360,842,225
  5. Step 5: Solve for x
    x = 939,458,360,842,225/19,835,311
  6. Step 6: Final answer
    x = 47,362,925.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.