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Finding the Third Proportional to 34,768,427,499 and 75,312,891,489

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Solution

The third proportional to 34,768,427,499 and 75,312,891,489 is: 163,137,421,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768,427,499 : 75,312,891,489 = 75,312,891,489 : x
  2. Step 2: Convert to fraction form
    34,768,427,499/75,312,891,489 = 75,312,891,489/x
  3. Step 3: Cross multiply
    34,768,427,499x = 75,312,891,489 × 75,312,891,489
  4. Step 4: Simplify right side
    34,768,427,499x = 5,672,031,624,433,888,133,120
  5. Step 5: Solve for x
    x = 5,672,031,624,433,888,133,120/34,768,427,499
  6. Step 6: Final answer
    x = 163,137,421,863.47

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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.