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Finding the Third Proportional to 934,301,595 and 2,205,506,996.25

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Solution

The third proportional to 934,301,595 and 2,205,506,996.25 is: 5,206,307,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,301,595 : 2,205,506,996.25 = 2,205,506,996.25 : x
  2. Step 2: Convert to fraction form
    934,301,595/2,205,506,996.25 = 2,205,506,996.25/x
  3. Step 3: Cross multiply
    934,301,595x = 2,205,506,996.25 × 2,205,506,996.25
  4. Step 4: Simplify right side
    934,301,595x = 4,864,261,110,507,697,152
  5. Step 5: Solve for x
    x = 4,864,261,110,507,697,152/934,301,595
  6. Step 6: Final answer
    x = 5,206,307,188.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.