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Finding the Third Proportional to 942,676,830 and 2,048,523,270

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Solution

The third proportional to 942,676,830 and 2,048,523,270 is: 4,451,629,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,676,830 : 2,048,523,270 = 2,048,523,270 : x
  2. Step 2: Convert to fraction form
    942,676,830/2,048,523,270 = 2,048,523,270/x
  3. Step 3: Cross multiply
    942,676,830x = 2,048,523,270 × 2,048,523,270
  4. Step 4: Simplify right side
    942,676,830x = 4,196,447,587,731,492,864
  5. Step 5: Solve for x
    x = 4,196,447,587,731,492,864/942,676,830
  6. Step 6: Final answer
    x = 4,451,629,078.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.