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Finding the Third Proportional to 460,348,425 and 986,359,266

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Solution

The third proportional to 460,348,425 and 986,359,266 is: 2,113,409,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,348,425 : 986,359,266 = 986,359,266 : x
  2. Step 2: Convert to fraction form
    460,348,425/986,359,266 = 986,359,266/x
  3. Step 3: Cross multiply
    460,348,425x = 986,359,266 × 986,359,266
  4. Step 4: Simplify right side
    460,348,425x = 972,904,601,624,058,752
  5. Step 5: Solve for x
    x = 972,904,601,624,058,752/460,348,425
  6. Step 6: Final answer
    x = 2,113,409,210.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.