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Finding the Third Proportional to 1,265,967,683,002.40 and 1,708,087,623,950.30

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Solution

The third proportional to 1,265,967,683,002.40 and 1,708,087,623,950.30 is: 2,304,611,223,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,967,683,002.40 : 1,708,087,623,950.30 = 1,708,087,623,950.30 : x
  2. Step 2: Convert to fraction form
    1,265,967,683,002.40/1,708,087,623,950.30 = 1,708,087,623,950.30/x
  3. Step 3: Cross multiply
    1,265,967,683,002.40x = 1,708,087,623,950.30 × 1,708,087,623,950.30
  4. Step 4: Simplify right side
    1,265,967,683,002.40x = 2,917,563,331,092,181,764,014,080
  5. Step 5: Solve for x
    x = 2,917,563,331,092,181,764,014,080/1,265,967,683,002.40
  6. Step 6: Final answer
    x = 2,304,611,223,702.66

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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.