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Finding the Third Proportional to 55,402,141,208 and 112,345,911,748

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Solution

The third proportional to 55,402,141,208 and 112,345,911,748 is: 227,817,979,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402,141,208 : 112,345,911,748 = 112,345,911,748 : x
  2. Step 2: Convert to fraction form
    55,402,141,208/112,345,911,748 = 112,345,911,748/x
  3. Step 3: Cross multiply
    55,402,141,208x = 112,345,911,748 × 112,345,911,748
  4. Step 4: Simplify right side
    55,402,141,208x = 12,621,603,886,489,403,392,000
  5. Step 5: Solve for x
    x = 12,621,603,886,489,403,392,000/55,402,141,208
  6. Step 6: Final answer
    x = 227,817,979,797.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.