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Finding the Third Proportional to 4,300,453,574,954 and 9,214,308,125,824

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Solution

The third proportional to 4,300,453,574,954 and 9,214,308,125,824 is: 19,742,911,476,153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,300,453,574,954 : 9,214,308,125,824 = 9,214,308,125,824 : x
  2. Step 2: Convert to fraction form
    4,300,453,574,954/9,214,308,125,824 = 9,214,308,125,824/x
  3. Step 3: Cross multiply
    4,300,453,574,954x = 9,214,308,125,824 × 9,214,308,125,824
  4. Step 4: Simplify right side
    4,300,453,574,954x = 84,903,474,237,626,190,842,036,224
  5. Step 5: Solve for x
    x = 84,903,474,237,626,190,842,036,224/4,300,453,574,954
  6. Step 6: Final answer
    x = 19,742,911,476,153.85

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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.