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Finding the Third Proportional to 9,364,479,214.50 and 22,098,494,830.50

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Solution

The third proportional to 9,364,479,214.50 and 22,098,494,830.50 is: 52,148,492,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364,479,214.50 : 22,098,494,830.50 = 22,098,494,830.50 : x
  2. Step 2: Convert to fraction form
    9,364,479,214.50/22,098,494,830.50 = 22,098,494,830.50/x
  3. Step 3: Cross multiply
    9,364,479,214.50x = 22,098,494,830.50 × 22,098,494,830.50
  4. Step 4: Simplify right side
    9,364,479,214.50x = 488,343,473,773,635,239,936
  5. Step 5: Solve for x
    x = 488,343,473,773,635,239,936/9,364,479,214.50
  6. Step 6: Final answer
    x = 52,148,492,466.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.