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Finding the Third Proportional to 64,671,571,030 and 141,534,680,996

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Solution

The third proportional to 64,671,571,030 and 141,534,680,996 is: 309,750,723,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,671,571,030 : 141,534,680,996 = 141,534,680,996 : x
  2. Step 2: Convert to fraction form
    64,671,571,030/141,534,680,996 = 141,534,680,996/x
  3. Step 3: Cross multiply
    64,671,571,030x = 141,534,680,996 × 141,534,680,996
  4. Step 4: Simplify right side
    64,671,571,030x = 20,032,065,924,639,481,659,392
  5. Step 5: Solve for x
    x = 20,032,065,924,639,481,659,392/64,671,571,030
  6. Step 6: Final answer
    x = 309,750,723,627.03

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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.