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Finding the Third Proportional to 7,865,443,088 and 16,852,791,336

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Solution

The third proportional to 7,865,443,088 and 16,852,791,336 is: 36,109,418,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,443,088 : 16,852,791,336 = 16,852,791,336 : x
  2. Step 2: Convert to fraction form
    7,865,443,088/16,852,791,336 = 16,852,791,336/x
  3. Step 3: Cross multiply
    7,865,443,088x = 16,852,791,336 × 16,852,791,336
  4. Step 4: Simplify right side
    7,865,443,088x = 284,016,575,814,756,663,296
  5. Step 5: Solve for x
    x = 284,016,575,814,756,663,296/7,865,443,088
  6. Step 6: Final answer
    x = 36,109,418,457.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.