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Finding the Third Proportional to 9,811,252,984 and 14,713,276,024

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Solution

The third proportional to 9,811,252,984 and 14,713,276,024 is: 22,064,510,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811,252,984 : 14,713,276,024 = 14,713,276,024 : x
  2. Step 2: Convert to fraction form
    9,811,252,984/14,713,276,024 = 14,713,276,024/x
  3. Step 3: Cross multiply
    9,811,252,984x = 14,713,276,024 × 14,713,276,024
  4. Step 4: Simplify right side
    9,811,252,984x = 216,480,491,358,413,258,752
  5. Step 5: Solve for x
    x = 216,480,491,358,413,258,752/9,811,252,984
  6. Step 6: Final answer
    x = 22,064,510,181.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.