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Finding the Third Proportional to 438,649,536.80 and 975,374,849.25

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Solution

The third proportional to 438,649,536.80 and 975,374,849.25 is: 2,168,829,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,649,536.80 : 975,374,849.25 = 975,374,849.25 : x
  2. Step 2: Convert to fraction form
    438,649,536.80/975,374,849.25 = 975,374,849.25/x
  3. Step 3: Cross multiply
    438,649,536.80x = 975,374,849.25 × 975,374,849.25
  4. Step 4: Simplify right side
    438,649,536.80x = 951,356,096,549,460,224
  5. Step 5: Solve for x
    x = 951,356,096,549,460,224/438,649,536.80
  6. Step 6: Final answer
    x = 2,168,829,593.43

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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.