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Finding the Third Proportional to 584,763,984 and 1,300,243,824

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Solution

The third proportional to 584,763,984 and 1,300,243,824 is: 2,891,139,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,763,984 : 1,300,243,824 = 1,300,243,824 : x
  2. Step 2: Convert to fraction form
    584,763,984/1,300,243,824 = 1,300,243,824/x
  3. Step 3: Cross multiply
    584,763,984x = 1,300,243,824 × 1,300,243,824
  4. Step 4: Simplify right side
    584,763,984x = 1,690,634,001,850,142,976
  5. Step 5: Solve for x
    x = 1,690,634,001,850,142,976/584,763,984
  6. Step 6: Final answer
    x = 2,891,139,071.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.