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Finding the Third Proportional to 499,733,953,864.50 and 761,310,111,306

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Solution

The third proportional to 499,733,953,864.50 and 761,310,111,306 is: 1,159,803,293,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733,953,864.50 : 761,310,111,306 = 761,310,111,306 : x
  2. Step 2: Convert to fraction form
    499,733,953,864.50/761,310,111,306 = 761,310,111,306/x
  3. Step 3: Cross multiply
    499,733,953,864.50x = 761,310,111,306 × 761,310,111,306
  4. Step 4: Simplify right side
    499,733,953,864.50x = 579,593,085,576,754,105,417,728
  5. Step 5: Solve for x
    x = 579,593,085,576,754,105,417,728/499,733,953,864.50
  6. Step 6: Final answer
    x = 1,159,803,293,521.87

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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.