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Finding the Third Proportional to 4,428,344,598.75 and 9,759,326,877.75

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Solution

The third proportional to 4,428,344,598.75 and 9,759,326,877.75 is: 21,507,915,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,428,344,598.75 : 9,759,326,877.75 = 9,759,326,877.75 : x
  2. Step 2: Convert to fraction form
    4,428,344,598.75/9,759,326,877.75 = 9,759,326,877.75/x
  3. Step 3: Cross multiply
    4,428,344,598.75x = 9,759,326,877.75 × 9,759,326,877.75
  4. Step 4: Simplify right side
    4,428,344,598.75x = 95,244,461,106,773,557,248
  5. Step 5: Solve for x
    x = 95,244,461,106,773,557,248/4,428,344,598.75
  6. Step 6: Final answer
    x = 21,507,915,425.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.