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Finding the Third Proportional to 1,299,160,347.75 and 3,031,478,913.38

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Solution

The third proportional to 1,299,160,347.75 and 3,031,478,913.38 is: 7,073,695,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,160,347.75 : 3,031,478,913.38 = 3,031,478,913.38 : x
  2. Step 2: Convert to fraction form
    1,299,160,347.75/3,031,478,913.38 = 3,031,478,913.38/x
  3. Step 3: Cross multiply
    1,299,160,347.75x = 3,031,478,913.38 × 3,031,478,913.38
  4. Step 4: Simplify right side
    1,299,160,347.75x = 9,189,864,402,237,271,040
  5. Step 5: Solve for x
    x = 9,189,864,402,237,271,040/1,299,160,347.75
  6. Step 6: Final answer
    x = 7,073,695,266.45

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.