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Finding the Third Proportional to 499,829,896,788 and 761,439,204,222

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Solution

The third proportional to 499,829,896,788 and 761,439,204,222 is: 1,159,973,954,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,829,896,788 : 761,439,204,222 = 761,439,204,222 : x
  2. Step 2: Convert to fraction form
    499,829,896,788/761,439,204,222 = 761,439,204,222/x
  3. Step 3: Cross multiply
    499,829,896,788x = 761,439,204,222 × 761,439,204,222
  4. Step 4: Simplify right side
    499,829,896,788x = 579,789,661,726,232,604,049,408
  5. Step 5: Solve for x
    x = 579,789,661,726,232,604,049,408/499,829,896,788
  6. Step 6: Final answer
    x = 1,159,973,954,043.30

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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.