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Finding the Third Proportional to 646,078,574 and 1,409,090,571

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Solution

The third proportional to 646,078,574 and 1,409,090,571 is: 3,073,211,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,078,574 : 1,409,090,571 = 1,409,090,571 : x
  2. Step 2: Convert to fraction form
    646,078,574/1,409,090,571 = 1,409,090,571/x
  3. Step 3: Cross multiply
    646,078,574x = 1,409,090,571 × 1,409,090,571
  4. Step 4: Simplify right side
    646,078,574x = 1,985,536,237,281,105,920
  5. Step 5: Solve for x
    x = 1,985,536,237,281,105,920/646,078,574
  6. Step 6: Final answer
    x = 3,073,211,707.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.