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Finding the Third Proportional to 1,338,205,372 and 2,898,779,072

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Solution

The third proportional to 1,338,205,372 and 2,898,779,072 is: 6,279,245,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,205,372 : 2,898,779,072 = 2,898,779,072 : x
  2. Step 2: Convert to fraction form
    1,338,205,372/2,898,779,072 = 2,898,779,072/x
  3. Step 3: Cross multiply
    1,338,205,372x = 2,898,779,072 × 2,898,779,072
  4. Step 4: Simplify right side
    1,338,205,372x = 8,402,920,108,265,181,184
  5. Step 5: Solve for x
    x = 8,402,920,108,265,181,184/1,338,205,372
  6. Step 6: Final answer
    x = 6,279,245,535.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.