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Finding the Third Proportional to 2,428,243,688 and 5,224,775,248

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Solution

The third proportional to 2,428,243,688 and 5,224,775,248 is: 11,241,983,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,243,688 : 5,224,775,248 = 5,224,775,248 : x
  2. Step 2: Convert to fraction form
    2,428,243,688/5,224,775,248 = 5,224,775,248/x
  3. Step 3: Cross multiply
    2,428,243,688x = 5,224,775,248 × 5,224,775,248
  4. Step 4: Simplify right side
    2,428,243,688x = 27,298,276,392,113,463,296
  5. Step 5: Solve for x
    x = 27,298,276,392,113,463,296/2,428,243,688
  6. Step 6: Final answer
    x = 11,241,983,877.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.