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Finding the Third Proportional to 14,423,880,613 and 31,330,750,354

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Solution

The third proportional to 14,423,880,613 and 31,330,750,354 is: 68,054,911,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423,880,613 : 31,330,750,354 = 31,330,750,354 : x
  2. Step 2: Convert to fraction form
    14,423,880,613/31,330,750,354 = 31,330,750,354/x
  3. Step 3: Cross multiply
    14,423,880,613x = 31,330,750,354 × 31,330,750,354
  4. Step 4: Simplify right side
    14,423,880,613x = 981,615,917,744,671,162,368
  5. Step 5: Solve for x
    x = 981,615,917,744,671,162,368/14,423,880,613
  6. Step 6: Final answer
    x = 68,054,911,440.40

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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.