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Finding the Third Proportional to 14,386,400,834,101 and 31,065,744,457,794

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Solution

The third proportional to 14,386,400,834,101 and 31,065,744,457,794 is: 67,082,829,808,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386,400,834,101 : 31,065,744,457,794 = 31,065,744,457,794 : x
  2. Step 2: Convert to fraction form
    14,386,400,834,101/31,065,744,457,794 = 31,065,744,457,794/x
  3. Step 3: Cross multiply
    14,386,400,834,101x = 31,065,744,457,794 × 31,065,744,457,794
  4. Step 4: Simplify right side
    14,386,400,834,101x = 965,080,478,716,958,650,140,721,152
  5. Step 5: Solve for x
    x = 965,080,478,716,958,650,140,721,152/14,386,400,834,101
  6. Step 6: Final answer
    x = 67,082,829,808,923.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.