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Finding the Third Proportional to 2,158,303,896 and 4,696,658,364

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Solution

The third proportional to 2,158,303,896 and 4,696,658,364 is: 10,220,340,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,303,896 : 4,696,658,364 = 4,696,658,364 : x
  2. Step 2: Convert to fraction form
    2,158,303,896/4,696,658,364 = 4,696,658,364/x
  3. Step 3: Cross multiply
    2,158,303,896x = 4,696,658,364 × 4,696,658,364
  4. Step 4: Simplify right side
    2,158,303,896x = 22,058,599,788,131,155,968
  5. Step 5: Solve for x
    x = 22,058,599,788,131,155,968/2,158,303,896
  6. Step 6: Final answer
    x = 10,220,340,068.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.