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Finding the Third Proportional to 499,733,953,920 and 761,310,111,384

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Solution

The third proportional to 499,733,953,920 and 761,310,111,384 is: 1,159,803,293,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,733,953,920 : 761,310,111,384 = 761,310,111,384 : x
  2. Step 2: Convert to fraction form
    499,733,953,920/761,310,111,384 = 761,310,111,384/x
  3. Step 3: Cross multiply
    499,733,953,920x = 761,310,111,384 × 761,310,111,384
  4. Step 4: Simplify right side
    499,733,953,920x = 579,593,085,695,518,473,977,856
  5. Step 5: Solve for x
    x = 579,593,085,695,518,473,977,856/499,733,953,920
  6. Step 6: Final answer
    x = 1,159,803,293,630.72

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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.