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Finding the Third Proportional to 215,173,859,055.75 and 470,881,756,528.86

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Solution

The third proportional to 215,173,859,055.75 and 470,881,756,528.86 is: 1,030,467,314,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,173,859,055.75 : 470,881,756,528.86 = 470,881,756,528.86 : x
  2. Step 2: Convert to fraction form
    215,173,859,055.75/470,881,756,528.86 = 470,881,756,528.86/x
  3. Step 3: Cross multiply
    215,173,859,055.75x = 470,881,756,528.86 × 470,881,756,528.86
  4. Step 4: Simplify right side
    215,173,859,055.75x = 221,729,628,631,704,581,177,344
  5. Step 5: Solve for x
    x = 221,729,628,631,704,581,177,344/215,173,859,055.75
  6. Step 6: Final answer
    x = 1,030,467,314,220.80

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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.