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Finding the Third Proportional to 65,897,677 and 137,249,610

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Solution

The third proportional to 65,897,677 and 137,249,610 is: 285,859,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897,677 : 137,249,610 = 137,249,610 : x
  2. Step 2: Convert to fraction form
    65,897,677/137,249,610 = 137,249,610/x
  3. Step 3: Cross multiply
    65,897,677x = 137,249,610 × 137,249,610
  4. Step 4: Simplify right side
    65,897,677x = 18,837,455,445,152,100
  5. Step 5: Solve for x
    x = 18,837,455,445,152,100/65,897,677
  6. Step 6: Final answer
    x = 285,859,172.93

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.