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Finding the Third Proportional to 427,226,946 and 877,102,464

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Solution

The third proportional to 427,226,946 and 877,102,464 is: 1,800,702,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,226,946 : 877,102,464 = 877,102,464 : x
  2. Step 2: Convert to fraction form
    427,226,946/877,102,464 = 877,102,464/x
  3. Step 3: Cross multiply
    427,226,946x = 877,102,464 × 877,102,464
  4. Step 4: Simplify right side
    427,226,946x = 769,308,732,354,871,296
  5. Step 5: Solve for x
    x = 769,308,732,354,871,296/427,226,946
  6. Step 6: Final answer
    x = 1,800,702,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.