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Finding the Third Proportional to 909,738,939 and 1,300,038,015

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Solution

The third proportional to 909,738,939 and 1,300,038,015 is: 1,857,784,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,738,939 : 1,300,038,015 = 1,300,038,015 : x
  2. Step 2: Convert to fraction form
    909,738,939/1,300,038,015 = 1,300,038,015/x
  3. Step 3: Cross multiply
    909,738,939x = 1,300,038,015 × 1,300,038,015
  4. Step 4: Simplify right side
    909,738,939x = 1,690,098,840,445,140,224
  5. Step 5: Solve for x
    x = 1,690,098,840,445,140,224/909,738,939
  6. Step 6: Final answer
    x = 1,857,784,434.62

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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.