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Finding the Third Proportional to 645,155,820 and 1,415,722,896

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Solution

The third proportional to 645,155,820 and 1,415,722,896 is: 3,106,646,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,155,820 : 1,415,722,896 = 1,415,722,896 : x
  2. Step 2: Convert to fraction form
    645,155,820/1,415,722,896 = 1,415,722,896/x
  3. Step 3: Cross multiply
    645,155,820x = 1,415,722,896 × 1,415,722,896
  4. Step 4: Simplify right side
    645,155,820x = 2,004,271,318,258,626,816
  5. Step 5: Solve for x
    x = 2,004,271,318,258,626,816/645,155,820
  6. Step 6: Final answer
    x = 3,106,646,884.56

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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.