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Finding the Third Proportional to 452,946,417,924 and 703,285,662,906

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Solution

The third proportional to 452,946,417,924 and 703,285,662,906 is: 1,091,985,065,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,946,417,924 : 703,285,662,906 = 703,285,662,906 : x
  2. Step 2: Convert to fraction form
    452,946,417,924/703,285,662,906 = 703,285,662,906/x
  3. Step 3: Cross multiply
    452,946,417,924x = 703,285,662,906 × 703,285,662,906
  4. Step 4: Simplify right side
    452,946,417,924x = 494,610,723,649,131,867,275,264
  5. Step 5: Solve for x
    x = 494,610,723,649,131,867,275,264/452,946,417,924
  6. Step 6: Final answer
    x = 1,091,985,065,068.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.