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Finding the Third Proportional to 14,461,771,801.50 and 31,336,883,613

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Solution

The third proportional to 14,461,771,801.50 and 31,336,883,613 is: 67,903,178,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461,771,801.50 : 31,336,883,613 = 31,336,883,613 : x
  2. Step 2: Convert to fraction form
    14,461,771,801.50/31,336,883,613 = 31,336,883,613/x
  3. Step 3: Cross multiply
    14,461,771,801.50x = 31,336,883,613 × 31,336,883,613
  4. Step 4: Simplify right side
    14,461,771,801.50x = 982,000,274,574,707,916,800
  5. Step 5: Solve for x
    x = 982,000,274,574,707,916,800/14,461,771,801.50
  6. Step 6: Final answer
    x = 67,903,178,673.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.