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Finding the Third Proportional to 1,739,897,748 and 2,635,116,894

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Solution

The third proportional to 1,739,897,748 and 2,635,116,894 is: 3,990,947,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,897,748 : 2,635,116,894 = 2,635,116,894 : x
  2. Step 2: Convert to fraction form
    1,739,897,748/2,635,116,894 = 2,635,116,894/x
  3. Step 3: Cross multiply
    1,739,897,748x = 2,635,116,894 × 2,635,116,894
  4. Step 4: Simplify right side
    1,739,897,748x = 6,943,841,045,044,207,616
  5. Step 5: Solve for x
    x = 6,943,841,045,044,207,616/1,739,897,748
  6. Step 6: Final answer
    x = 3,990,947,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.