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Finding the Third Proportional to 1,638,277,683 and 3,610,488,533

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Solution

The third proportional to 1,638,277,683 and 3,610,488,533 is: 7,956,909,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,277,683 : 3,610,488,533 = 3,610,488,533 : x
  2. Step 2: Convert to fraction form
    1,638,277,683/3,610,488,533 = 3,610,488,533/x
  3. Step 3: Cross multiply
    1,638,277,683x = 3,610,488,533 × 3,610,488,533
  4. Step 4: Simplify right side
    1,638,277,683x = 13,035,627,446,924,492,800
  5. Step 5: Solve for x
    x = 13,035,627,446,924,492,800/1,638,277,683
  6. Step 6: Final answer
    x = 7,956,909,614.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.