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Finding the Third Proportional to 445,671,538 and 977,436,426

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Solution

The third proportional to 445,671,538 and 977,436,426 is: 2,143,690,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,671,538 : 977,436,426 = 977,436,426 : x
  2. Step 2: Convert to fraction form
    445,671,538/977,436,426 = 977,436,426/x
  3. Step 3: Cross multiply
    445,671,538x = 977,436,426 × 977,436,426
  4. Step 4: Simplify right side
    445,671,538x = 955,381,966,871,653,504
  5. Step 5: Solve for x
    x = 955,381,966,871,653,504/445,671,538
  6. Step 6: Final answer
    x = 2,143,690,779.89

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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.