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Finding the Third Proportional to 7,762,261,038 and 16,884,550,470

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Solution

The third proportional to 7,762,261,038 and 16,884,550,470 is: 36,727,448,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,038 : 16,884,550,470 = 16,884,550,470 : x
  2. Step 2: Convert to fraction form
    7,762,261,038/16,884,550,470 = 16,884,550,470/x
  3. Step 3: Cross multiply
    7,762,261,038x = 16,884,550,470 × 16,884,550,470
  4. Step 4: Simplify right side
    7,762,261,038x = 285,088,044,573,977,214,976
  5. Step 5: Solve for x
    x = 285,088,044,573,977,214,976/7,762,261,038
  6. Step 6: Final answer
    x = 36,727,448,765.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.