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Finding the Third Proportional to 909,738,980 and 1,300,038,066

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Solution

The third proportional to 909,738,980 and 1,300,038,066 is: 1,857,784,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,738,980 : 1,300,038,066 = 1,300,038,066 : x
  2. Step 2: Convert to fraction form
    909,738,980/1,300,038,066 = 1,300,038,066/x
  3. Step 3: Cross multiply
    909,738,980x = 1,300,038,066 × 1,300,038,066
  4. Step 4: Simplify right side
    909,738,980x = 1,690,098,973,049,020,416
  5. Step 5: Solve for x
    x = 1,690,098,973,049,020,416/909,738,980
  6. Step 6: Final answer
    x = 1,857,784,496.66

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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.