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Finding the Third Proportional to 261,742,074.25 and 567,104,854.25

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Solution

The third proportional to 261,742,074.25 and 567,104,854.25 is: 1,228,720,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,742,074.25 : 567,104,854.25 = 567,104,854.25 : x
  2. Step 2: Convert to fraction form
    261,742,074.25/567,104,854.25 = 567,104,854.25/x
  3. Step 3: Cross multiply
    261,742,074.25x = 567,104,854.25 × 567,104,854.25
  4. Step 4: Simplify right side
    261,742,074.25x = 321,607,915,713,913,728
  5. Step 5: Solve for x
    x = 321,607,915,713,913,728/261,742,074.25
  6. Step 6: Final answer
    x = 1,228,720,742.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.