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Finding the Third Proportional to 25,669,140,566 and 54,870,877,714

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Solution

The third proportional to 25,669,140,566 and 54,870,877,714 is: 117,293,105,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669,140,566 : 54,870,877,714 = 54,870,877,714 : x
  2. Step 2: Convert to fraction form
    25,669,140,566/54,870,877,714 = 54,870,877,714/x
  3. Step 3: Cross multiply
    25,669,140,566x = 54,870,877,714 × 54,870,877,714
  4. Step 4: Simplify right side
    25,669,140,566x = 3,010,813,221,104,742,039,552
  5. Step 5: Solve for x
    x = 3,010,813,221,104,742,039,552/25,669,140,566
  6. Step 6: Final answer
    x = 117,293,105,835.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.