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Finding the Third Proportional to 4,471,062,176,000 and 9,725,500,709,248

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Solution

The third proportional to 4,471,062,176,000 and 9,725,500,709,248 is: 21,155,009,776,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,062,176,000 : 9,725,500,709,248 = 9,725,500,709,248 : x
  2. Step 2: Convert to fraction form
    4,471,062,176,000/9,725,500,709,248 = 9,725,500,709,248/x
  3. Step 3: Cross multiply
    4,471,062,176,000x = 9,725,500,709,248 × 9,725,500,709,248
  4. Step 4: Simplify right side
    4,471,062,176,000x = 94,585,364,045,583,343,218,065,408
  5. Step 5: Solve for x
    x = 94,585,364,045,583,343,218,065,408/4,471,062,176,000
  6. Step 6: Final answer
    x = 21,155,009,776,715.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.