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Finding the Third Proportional to 68,884,077,946.50 and 107,822,395,813.50

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Solution

The third proportional to 68,884,077,946.50 and 107,822,395,813.50 is: 168,771,498,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,884,077,946.50 : 107,822,395,813.50 = 107,822,395,813.50 : x
  2. Step 2: Convert to fraction form
    68,884,077,946.50/107,822,395,813.50 = 107,822,395,813.50/x
  3. Step 3: Cross multiply
    68,884,077,946.50x = 107,822,395,813.50 × 107,822,395,813.50
  4. Step 4: Simplify right side
    68,884,077,946.50x = 11,625,669,038,963,062,472,704
  5. Step 5: Solve for x
    x = 11,625,669,038,963,062,472,704/68,884,077,946.50
  6. Step 6: Final answer
    x = 168,771,498,226.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.