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Finding the Third Proportional to 9,712,974,738 and 20,899,100,964

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Solution

The third proportional to 9,712,974,738 and 20,899,100,964 is: 44,967,935,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,974,738 : 20,899,100,964 = 20,899,100,964 : x
  2. Step 2: Convert to fraction form
    9,712,974,738/20,899,100,964 = 20,899,100,964/x
  3. Step 3: Cross multiply
    9,712,974,738x = 20,899,100,964 × 20,899,100,964
  4. Step 4: Simplify right side
    9,712,974,738x = 436,772,421,103,465,725,952
  5. Step 5: Solve for x
    x = 436,772,421,103,465,725,952/9,712,974,738
  6. Step 6: Final answer
    x = 44,967,935,455.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.