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Finding the Third Proportional to 265,702,672 and 575,075,216

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Solution

The third proportional to 265,702,672 and 575,075,216 is: 1,244,667,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,702,672 : 575,075,216 = 575,075,216 : x
  2. Step 2: Convert to fraction form
    265,702,672/575,075,216 = 575,075,216/x
  3. Step 3: Cross multiply
    265,702,672x = 575,075,216 × 575,075,216
  4. Step 4: Simplify right side
    265,702,672x = 330,711,504,057,446,656
  5. Step 5: Solve for x
    x = 330,711,504,057,446,656/265,702,672
  6. Step 6: Final answer
    x = 1,244,667,588.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.