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Finding the Third Proportional to 691,386,026 and 1,520,677,102

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Solution

The third proportional to 691,386,026 and 1,520,677,102 is: 3,344,671,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,386,026 : 1,520,677,102 = 1,520,677,102 : x
  2. Step 2: Convert to fraction form
    691,386,026/1,520,677,102 = 1,520,677,102/x
  3. Step 3: Cross multiply
    691,386,026x = 1,520,677,102 × 1,520,677,102
  4. Step 4: Simplify right side
    691,386,026x = 2,312,458,848,547,118,592
  5. Step 5: Solve for x
    x = 2,312,458,848,547,118,592/691,386,026
  6. Step 6: Final answer
    x = 3,344,671,083.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.