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Finding the Third Proportional to 911,107,564.50 and 1,360,690,938.75

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Solution

The third proportional to 911,107,564.50 and 1,360,690,938.75 is: 2,032,119,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,107,564.50 : 1,360,690,938.75 = 1,360,690,938.75 : x
  2. Step 2: Convert to fraction form
    911,107,564.50/1,360,690,938.75 = 1,360,690,938.75/x
  3. Step 3: Cross multiply
    911,107,564.50x = 1,360,690,938.75 × 1,360,690,938.75
  4. Step 4: Simplify right side
    911,107,564.50x = 1,851,479,830,796,356,352
  5. Step 5: Solve for x
    x = 1,851,479,830,796,356,352/911,107,564.50
  6. Step 6: Final answer
    x = 2,032,119,919.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.