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Finding the Third Proportional to 3,610,681,261 and 7,862,365,465

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Solution

The third proportional to 3,610,681,261 and 7,862,365,465 is: 17,120,533,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610,681,261 : 7,862,365,465 = 7,862,365,465 : x
  2. Step 2: Convert to fraction form
    3,610,681,261/7,862,365,465 = 7,862,365,465/x
  3. Step 3: Cross multiply
    3,610,681,261x = 7,862,365,465 × 7,862,365,465
  4. Step 4: Simplify right side
    3,610,681,261x = 61,816,790,705,224,663,040
  5. Step 5: Solve for x
    x = 61,816,790,705,224,663,040/3,610,681,261
  6. Step 6: Final answer
    x = 17,120,533,837.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.