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Finding the Third Proportional to 438,814,242 and 913,949,154

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Solution

The third proportional to 438,814,242 and 913,949,154 is: 1,903,545,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,814,242 : 913,949,154 = 913,949,154 : x
  2. Step 2: Convert to fraction form
    438,814,242/913,949,154 = 913,949,154/x
  3. Step 3: Cross multiply
    438,814,242x = 913,949,154 × 913,949,154
  4. Step 4: Simplify right side
    438,814,242x = 835,303,056,097,315,712
  5. Step 5: Solve for x
    x = 835,303,056,097,315,712/438,814,242
  6. Step 6: Final answer
    x = 1,903,545,911.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.