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Finding the Third Proportional to 499,733,953,862 and 761,310,111,301

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Solution

The third proportional to 499,733,953,862 and 761,310,111,301 is: 1,159,803,293,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733,953,862 : 761,310,111,301 = 761,310,111,301 : x
  2. Step 2: Convert to fraction form
    499,733,953,862/761,310,111,301 = 761,310,111,301/x
  3. Step 3: Cross multiply
    499,733,953,862x = 761,310,111,301 × 761,310,111,301
  4. Step 4: Simplify right side
    499,733,953,862x = 579,593,085,569,141,007,450,112
  5. Step 5: Solve for x
    x = 579,593,085,569,141,007,450,112/499,733,953,862
  6. Step 6: Final answer
    x = 1,159,803,293,512.44

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Why These Related Problems?

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