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Finding the Third Proportional to 1,407,412,221 and 1,909,282,230

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Solution

The third proportional to 1,407,412,221 and 1,909,282,230 is: 2,590,114,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,412,221 : 1,909,282,230 = 1,909,282,230 : x
  2. Step 2: Convert to fraction form
    1,407,412,221/1,909,282,230 = 1,909,282,230/x
  3. Step 3: Cross multiply
    1,407,412,221x = 1,909,282,230 × 1,909,282,230
  4. Step 4: Simplify right side
    1,407,412,221x = 3,645,358,633,793,773,056
  5. Step 5: Solve for x
    x = 3,645,358,633,793,773,056/1,407,412,221
  6. Step 6: Final answer
    x = 2,590,114,381.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.