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Finding the Third Proportional to 924,507,458 and 2,048,351,224

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Solution

The third proportional to 924,507,458 and 2,048,351,224 is: 4,538,354,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,507,458 : 2,048,351,224 = 2,048,351,224 : x
  2. Step 2: Convert to fraction form
    924,507,458/2,048,351,224 = 2,048,351,224/x
  3. Step 3: Cross multiply
    924,507,458x = 2,048,351,224 × 2,048,351,224
  4. Step 4: Simplify right side
    924,507,458x = 4,195,742,736,862,298,112
  5. Step 5: Solve for x
    x = 4,195,742,736,862,298,112/924,507,458
  6. Step 6: Final answer
    x = 4,538,354,667.19

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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.