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Finding the Third Proportional to 306,591,030,045 and 670,979,103,030

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Solution

The third proportional to 306,591,030,045 and 670,979,103,030 is: 1,468,447,908,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,591,030,045 : 670,979,103,030 = 670,979,103,030 : x
  2. Step 2: Convert to fraction form
    306,591,030,045/670,979,103,030 = 670,979,103,030/x
  3. Step 3: Cross multiply
    306,591,030,045x = 670,979,103,030 × 670,979,103,030
  4. Step 4: Simplify right side
    306,591,030,045x = 450,212,956,702,943,383,388,160
  5. Step 5: Solve for x
    x = 450,212,956,702,943,383,388,160/306,591,030,045
  6. Step 6: Final answer
    x = 1,468,447,908,071.10

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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.