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Finding the Third Proportional to 1,265,967,683,002.40 and 1,708,087,623,950.40

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Solution

The third proportional to 1,265,967,683,002.40 and 1,708,087,623,950.40 is: 2,304,611,223,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,967,683,002.40 : 1,708,087,623,950.40 = 1,708,087,623,950.40 : x
  2. Step 2: Convert to fraction form
    1,265,967,683,002.40/1,708,087,623,950.40 = 1,708,087,623,950.40/x
  3. Step 3: Cross multiply
    1,265,967,683,002.40x = 1,708,087,623,950.40 × 1,708,087,623,950.40
  4. Step 4: Simplify right side
    1,265,967,683,002.40x = 2,917,563,331,092,522,677,043,200
  5. Step 5: Solve for x
    x = 2,917,563,331,092,522,677,043,200/1,265,967,683,002.40
  6. Step 6: Final answer
    x = 2,304,611,223,702.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.