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Finding the Third Proportional to 910,964,680,597.50 and 1,897,329,371,970.80

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Solution

The third proportional to 910,964,680,597.50 and 1,897,329,371,970.80 is: 3,951,699,580,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,964,680,597.50 : 1,897,329,371,970.80 = 1,897,329,371,970.80 : x
  2. Step 2: Convert to fraction form
    910,964,680,597.50/1,897,329,371,970.80 = 1,897,329,371,970.80/x
  3. Step 3: Cross multiply
    910,964,680,597.50x = 1,897,329,371,970.80 × 1,897,329,371,970.80
  4. Step 4: Simplify right side
    910,964,680,597.50x = 3,599,858,745,743,110,574,178,304
  5. Step 5: Solve for x
    x = 3,599,858,745,743,110,574,178,304/910,964,680,597.50
  6. Step 6: Final answer
    x = 3,951,699,580,034.18

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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.