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Finding the Third Proportional to 8,295,887,712 and 12,128,877,810

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Solution

The third proportional to 8,295,887,712 and 12,128,877,810 is: 17,732,843,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,887,712 : 12,128,877,810 = 12,128,877,810 : x
  2. Step 2: Convert to fraction form
    8,295,887,712/12,128,877,810 = 12,128,877,810/x
  3. Step 3: Cross multiply
    8,295,887,712x = 12,128,877,810 × 12,128,877,810
  4. Step 4: Simplify right side
    8,295,887,712x = 147,109,676,929,910,390,784
  5. Step 5: Solve for x
    x = 147,109,676,929,910,390,784/8,295,887,712
  6. Step 6: Final answer
    x = 17,732,843,311.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.