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Finding the Third Proportional to 2,938,683,906 and 6,393,905,460

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Solution

The third proportional to 2,938,683,906 and 6,393,905,460 is: 13,911,678,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,683,906 : 6,393,905,460 = 6,393,905,460 : x
  2. Step 2: Convert to fraction form
    2,938,683,906/6,393,905,460 = 6,393,905,460/x
  3. Step 3: Cross multiply
    2,938,683,906x = 6,393,905,460 × 6,393,905,460
  4. Step 4: Simplify right side
    2,938,683,906x = 40,882,027,031,417,815,040
  5. Step 5: Solve for x
    x = 40,882,027,031,417,815,040/2,938,683,906
  6. Step 6: Final answer
    x = 13,911,678,948.51

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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.