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Finding the Third Proportional to 711,535,258,589.52 and 1,083,974,748,406.60

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Solution

The third proportional to 711,535,258,589.52 and 1,083,974,748,406.60 is: 1,651,360,548,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,535,258,589.52 : 1,083,974,748,406.60 = 1,083,974,748,406.60 : x
  2. Step 2: Convert to fraction form
    711,535,258,589.52/1,083,974,748,406.60 = 1,083,974,748,406.60/x
  3. Step 3: Cross multiply
    711,535,258,589.52x = 1,083,974,748,406.60 × 1,083,974,748,406.60
  4. Step 4: Simplify right side
    711,535,258,589.52x = 1,175,001,255,183,151,741,796,352
  5. Step 5: Solve for x
    x = 1,175,001,255,183,151,741,796,352/711,535,258,589.52
  6. Step 6: Final answer
    x = 1,651,360,548,895.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.