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Finding the Third Proportional to 832,618,607,319 and 1,123,398,000,541.50

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Solution

The third proportional to 832,618,607,319 and 1,123,398,000,541.50 is: 1,515,727,677,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,618,607,319 : 1,123,398,000,541.50 = 1,123,398,000,541.50 : x
  2. Step 2: Convert to fraction form
    832,618,607,319/1,123,398,000,541.50 = 1,123,398,000,541.50/x
  3. Step 3: Cross multiply
    832,618,607,319x = 1,123,398,000,541.50 × 1,123,398,000,541.50
  4. Step 4: Simplify right side
    832,618,607,319x = 1,262,023,067,620,639,909,085,184
  5. Step 5: Solve for x
    x = 1,262,023,067,620,639,909,085,184/832,618,607,319
  6. Step 6: Final answer
    x = 1,515,727,677,146.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.