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Finding the Third Proportional to 1,103,277,818 and 1,645,349,315

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Solution

The third proportional to 1,103,277,818 and 1,645,349,315 is: 2,453,755,821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,277,818 : 1,645,349,315 = 1,645,349,315 : x
  2. Step 2: Convert to fraction form
    1,103,277,818/1,645,349,315 = 1,645,349,315/x
  3. Step 3: Cross multiply
    1,103,277,818x = 1,645,349,315 × 1,645,349,315
  4. Step 4: Simplify right side
    1,103,277,818x = 2,707,174,368,370,969,088
  5. Step 5: Solve for x
    x = 2,707,174,368,370,969,088/1,103,277,818
  6. Step 6: Final answer
    x = 2,453,755,821.25

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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.