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Finding the Third Proportional to 265,702,640 and 575,075,152

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Solution

The third proportional to 265,702,640 and 575,075,152 is: 1,244,667,461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,702,640 : 575,075,152 = 575,075,152 : x
  2. Step 2: Convert to fraction form
    265,702,640/575,075,152 = 575,075,152/x
  3. Step 3: Cross multiply
    265,702,640x = 575,075,152 × 575,075,152
  4. Step 4: Simplify right side
    265,702,640x = 330,711,430,447,823,104
  5. Step 5: Solve for x
    x = 330,711,430,447,823,104/265,702,640
  6. Step 6: Final answer
    x = 1,244,667,461.52

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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.