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Finding the Third Proportional to 5,897,290,388 and 12,905,366,824

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Solution

The third proportional to 5,897,290,388 and 12,905,366,824 is: 28,241,528,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,290,388 : 12,905,366,824 = 12,905,366,824 : x
  2. Step 2: Convert to fraction form
    5,897,290,388/12,905,366,824 = 12,905,366,824/x
  3. Step 3: Cross multiply
    5,897,290,388x = 12,905,366,824 × 12,905,366,824
  4. Step 4: Simplify right side
    5,897,290,388x = 166,548,492,861,999,841,280
  5. Step 5: Solve for x
    x = 166,548,492,861,999,841,280/5,897,290,388
  6. Step 6: Final answer
    x = 28,241,528,211.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.