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Finding the Third Proportional to 924,507,456 and 2,048,351,220

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Solution

The third proportional to 924,507,456 and 2,048,351,220 is: 4,538,354,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,507,456 : 2,048,351,220 = 2,048,351,220 : x
  2. Step 2: Convert to fraction form
    924,507,456/2,048,351,220 = 2,048,351,220/x
  3. Step 3: Cross multiply
    924,507,456x = 2,048,351,220 × 2,048,351,220
  4. Step 4: Simplify right side
    924,507,456x = 4,195,742,720,475,488,256
  5. Step 5: Solve for x
    x = 4,195,742,720,475,488,256/924,507,456
  6. Step 6: Final answer
    x = 4,538,354,659.28

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