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Finding the Third Proportional to 528,721,728 and 1,145,281,152

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Solution

The third proportional to 528,721,728 and 1,145,281,152 is: 2,480,830,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,721,728 : 1,145,281,152 = 1,145,281,152 : x
  2. Step 2: Convert to fraction form
    528,721,728/1,145,281,152 = 1,145,281,152/x
  3. Step 3: Cross multiply
    528,721,728x = 1,145,281,152 × 1,145,281,152
  4. Step 4: Simplify right side
    528,721,728x = 1,311,668,917,126,447,104
  5. Step 5: Solve for x
    x = 1,311,668,917,126,447,104/528,721,728
  6. Step 6: Final answer
    x = 2,480,830,364.37

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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.