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Finding the Third Proportional to 910,964,847,427.50 and 1,897,329,717,229.50

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Solution

The third proportional to 910,964,847,427.50 and 1,897,329,717,229.50 is: 3,951,700,294,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,964,847,427.50 : 1,897,329,717,229.50 = 1,897,329,717,229.50 : x
  2. Step 2: Convert to fraction form
    910,964,847,427.50/1,897,329,717,229.50 = 1,897,329,717,229.50/x
  3. Step 3: Cross multiply
    910,964,847,427.50x = 1,897,329,717,229.50 × 1,897,329,717,229.50
  4. Step 4: Simplify right side
    910,964,847,427.50x = 3,599,860,055,882,174,371,463,168
  5. Step 5: Solve for x
    x = 3,599,860,055,882,174,371,463,168/910,964,847,427.50
  6. Step 6: Final answer
    x = 3,951,700,294,526.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.