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Finding the Third Proportional to 1,265,967,683,002.10 and 1,708,087,623,950.10

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Solution

The third proportional to 1,265,967,683,002.10 and 1,708,087,623,950.10 is: 2,304,611,223,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,967,683,002.10 : 1,708,087,623,950.10 = 1,708,087,623,950.10 : x
  2. Step 2: Convert to fraction form
    1,265,967,683,002.10/1,708,087,623,950.10 = 1,708,087,623,950.10/x
  3. Step 3: Cross multiply
    1,265,967,683,002.10x = 1,708,087,623,950.10 × 1,708,087,623,950.10
  4. Step 4: Simplify right side
    1,265,967,683,002.10x = 2,917,563,331,091,498,327,343,104
  5. Step 5: Solve for x
    x = 2,917,563,331,091,498,327,343,104/1,265,967,683,002.10
  6. Step 6: Final answer
    x = 2,304,611,223,702.67

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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.