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Finding the Third Proportional to 499,733,953,834 and 761,310,111,255

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Solution

The third proportional to 499,733,953,834 and 761,310,111,255 is: 1,159,803,293,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733,953,834 : 761,310,111,255 = 761,310,111,255 : x
  2. Step 2: Convert to fraction form
    499,733,953,834/761,310,111,255 = 761,310,111,255/x
  3. Step 3: Cross multiply
    499,733,953,834x = 761,310,111,255 × 761,310,111,255
  4. Step 4: Simplify right side
    499,733,953,834x = 579,593,085,499,100,492,726,272
  5. Step 5: Solve for x
    x = 579,593,085,499,100,492,726,272/499,733,953,834
  6. Step 6: Final answer
    x = 1,159,803,293,437.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.