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Finding the Third Proportional to 3,251,804,077.50 and 5,174,259,547.50

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Solution

The third proportional to 3,251,804,077.50 and 5,174,259,547.50 is: 8,233,264,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,804,077.50 : 5,174,259,547.50 = 5,174,259,547.50 : x
  2. Step 2: Convert to fraction form
    3,251,804,077.50/5,174,259,547.50 = 5,174,259,547.50/x
  3. Step 3: Cross multiply
    3,251,804,077.50x = 5,174,259,547.50 × 5,174,259,547.50
  4. Step 4: Simplify right side
    3,251,804,077.50x = 26,772,961,864,894,906,368
  5. Step 5: Solve for x
    x = 26,772,961,864,894,906,368/3,251,804,077.50
  6. Step 6: Final answer
    x = 8,233,264,128.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.