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Finding the Third Proportional to 47,406,423,402 and 68,494,095,224

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Solution

The third proportional to 47,406,423,402 and 68,494,095,224 is: 98,962,139,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406,423,402 : 68,494,095,224 = 68,494,095,224 : x
  2. Step 2: Convert to fraction form
    47,406,423,402/68,494,095,224 = 68,494,095,224/x
  3. Step 3: Cross multiply
    47,406,423,402x = 68,494,095,224 × 68,494,095,224
  4. Step 4: Simplify right side
    47,406,423,402x = 4,691,441,080,554,379,804,672
  5. Step 5: Solve for x
    x = 4,691,441,080,554,379,804,672/47,406,423,402
  6. Step 6: Final answer
    x = 98,962,139,387.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.