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Finding the Third Proportional to 37,740,897 and 82,547,977

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Solution

The third proportional to 37,740,897 and 82,547,977 is: 180,551,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740,897 : 82,547,977 = 82,547,977 : x
  2. Step 2: Convert to fraction form
    37,740,897/82,547,977 = 82,547,977/x
  3. Step 3: Cross multiply
    37,740,897x = 82,547,977 × 82,547,977
  4. Step 4: Simplify right side
    37,740,897x = 6,814,168,506,792,529
  5. Step 5: Solve for x
    x = 6,814,168,506,792,529/37,740,897
  6. Step 6: Final answer
    x = 180,551,312.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.