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Finding the Third Proportional to 755,246,106 and 1,166,409,004.50

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Solution

The third proportional to 755,246,106 and 1,166,409,004.50 is: 1,801,412,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,246,106 : 1,166,409,004.50 = 1,166,409,004.50 : x
  2. Step 2: Convert to fraction form
    755,246,106/1,166,409,004.50 = 1,166,409,004.50/x
  3. Step 3: Cross multiply
    755,246,106x = 1,166,409,004.50 × 1,166,409,004.50
  4. Step 4: Simplify right side
    755,246,106x = 1,360,509,965,778,681,088
  5. Step 5: Solve for x
    x = 1,360,509,965,778,681,088/755,246,106
  6. Step 6: Final answer
    x = 1,801,412,751.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.