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Finding the Third Proportional to 63,668,191 and 136,413,526

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Solution

The third proportional to 63,668,191 and 136,413,526 is: 292,275,464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,668,191 : 136,413,526 = 136,413,526 : x
  2. Step 2: Convert to fraction form
    63,668,191/136,413,526 = 136,413,526/x
  3. Step 3: Cross multiply
    63,668,191x = 136,413,526 × 136,413,526
  4. Step 4: Simplify right side
    63,668,191x = 18,608,650,075,752,676
  5. Step 5: Solve for x
    x = 18,608,650,075,752,676/63,668,191
  6. Step 6: Final answer
    x = 292,275,464.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.