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Finding the Third Proportional to 1,755,366,656 and 3,774,909,952

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Solution

The third proportional to 1,755,366,656 and 3,774,909,952 is: 8,117,930,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,366,656 : 3,774,909,952 = 3,774,909,952 : x
  2. Step 2: Convert to fraction form
    1,755,366,656/3,774,909,952 = 3,774,909,952/x
  3. Step 3: Cross multiply
    1,755,366,656x = 3,774,909,952 × 3,774,909,952
  4. Step 4: Simplify right side
    1,755,366,656x = 14,249,945,145,708,642,304
  5. Step 5: Solve for x
    x = 14,249,945,145,708,642,304/1,755,366,656
  6. Step 6: Final answer
    x = 8,117,930,859.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.