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Finding the Third Proportional to 14,461,774,392 and 31,336,888,416

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Solution

The third proportional to 14,461,774,392 and 31,336,888,416 is: 67,903,187,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461,774,392 : 31,336,888,416 = 31,336,888,416 : x
  2. Step 2: Convert to fraction form
    14,461,774,392/31,336,888,416 = 31,336,888,416/x
  3. Step 3: Cross multiply
    14,461,774,392x = 31,336,888,416 × 31,336,888,416
  4. Step 4: Simplify right side
    14,461,774,392x = 982,000,575,596,834,979,840
  5. Step 5: Solve for x
    x = 982,000,575,596,834,979,840/14,461,774,392
  6. Step 6: Final answer
    x = 67,903,187,325.34

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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.