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Finding the Third Proportional to 909,738,978 and 1,300,038,063

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Solution

The third proportional to 909,738,978 and 1,300,038,063 is: 1,857,784,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,738,978 : 1,300,038,063 = 1,300,038,063 : x
  2. Step 2: Convert to fraction form
    909,738,978/1,300,038,063 = 1,300,038,063/x
  3. Step 3: Cross multiply
    909,738,978x = 1,300,038,063 × 1,300,038,063
  4. Step 4: Simplify right side
    909,738,978x = 1,690,098,965,248,792,064
  5. Step 5: Solve for x
    x = 1,690,098,965,248,792,064/909,738,978
  6. Step 6: Final answer
    x = 1,857,784,492.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.