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Finding the Third Proportional to 6,595,893,648 and 14,376,966,291

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Solution

The third proportional to 6,595,893,648 and 14,376,966,291 is: 31,337,248,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595,893,648 : 14,376,966,291 = 14,376,966,291 : x
  2. Step 2: Convert to fraction form
    6,595,893,648/14,376,966,291 = 14,376,966,291/x
  3. Step 3: Cross multiply
    6,595,893,648x = 14,376,966,291 × 14,376,966,291
  4. Step 4: Simplify right side
    6,595,893,648x = 206,697,159,732,550,303,744
  5. Step 5: Solve for x
    x = 206,697,159,732,550,303,744/6,595,893,648
  6. Step 6: Final answer
    x = 31,337,248,713.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.