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Finding the Third Proportional to 9,312,768 and 13,911,798

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Solution

The third proportional to 9,312,768 and 13,911,798 is: 20,782,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312,768 : 13,911,798 = 13,911,798 : x
  2. Step 2: Convert to fraction form
    9,312,768/13,911,798 = 13,911,798/x
  3. Step 3: Cross multiply
    9,312,768x = 13,911,798 × 13,911,798
  4. Step 4: Simplify right side
    9,312,768x = 193,538,123,592,804
  5. Step 5: Solve for x
    x = 193,538,123,592,804/9,312,768
  6. Step 6: Final answer
    x = 20,782,019.22

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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.