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Finding the Third Proportional to 29,919,083 and 65,513,212

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Solution

The third proportional to 29,919,083 and 65,513,212 is: 143,452,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,919,083 : 65,513,212 = 65,513,212 : x
  2. Step 2: Convert to fraction form
    29,919,083/65,513,212 = 65,513,212/x
  3. Step 3: Cross multiply
    29,919,083x = 65,513,212 × 65,513,212
  4. Step 4: Simplify right side
    29,919,083x = 4,291,980,946,556,944
  5. Step 5: Solve for x
    x = 4,291,980,946,556,944/29,919,083
  6. Step 6: Final answer
    x = 143,452,957.65

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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.