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Finding the Third Proportional to 27,715,419,648 and 64,671,547,392

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Solution

The third proportional to 27,715,419,648 and 64,671,547,392 is: 150,905,492,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,715,419,648 : 64,671,547,392 = 64,671,547,392 : x
  2. Step 2: Convert to fraction form
    27,715,419,648/64,671,547,392 = 64,671,547,392/x
  3. Step 3: Cross multiply
    27,715,419,648x = 64,671,547,392 × 64,671,547,392
  4. Step 4: Simplify right side
    27,715,419,648x = 4,182,409,042,075,702,001,664
  5. Step 5: Solve for x
    x = 4,182,409,042,075,702,001,664/27,715,419,648
  6. Step 6: Final answer
    x = 150,905,492,148.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.