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Finding the Third Proportional to 2,852,885,490 and 6,212,242,462

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Solution

The third proportional to 2,852,885,490 and 6,212,242,462 is: 13,527,341,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,885,490 : 6,212,242,462 = 6,212,242,462 : x
  2. Step 2: Convert to fraction form
    2,852,885,490/6,212,242,462 = 6,212,242,462/x
  3. Step 3: Cross multiply
    2,852,885,490x = 6,212,242,462 × 6,212,242,462
  4. Step 4: Simplify right side
    2,852,885,490x = 38,591,956,406,675,824,640
  5. Step 5: Solve for x
    x = 38,591,956,406,675,824,640/2,852,885,490
  6. Step 6: Final answer
    x = 13,527,341,543.13

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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.