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Finding the Third Proportional to 1,710,880,436,564 and 3,625,737,760,592

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Solution

The third proportional to 1,710,880,436,564 and 3,625,737,760,592 is: 7,683,748,102,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,880,436,564 : 3,625,737,760,592 = 3,625,737,760,592 : x
  2. Step 2: Convert to fraction form
    1,710,880,436,564/3,625,737,760,592 = 3,625,737,760,592/x
  3. Step 3: Cross multiply
    1,710,880,436,564x = 3,625,737,760,592 × 3,625,737,760,592
  4. Step 4: Simplify right side
    1,710,880,436,564x = 13,145,974,308,582,690,111,094,784
  5. Step 5: Solve for x
    x = 13,145,974,308,582,690,111,094,784/1,710,880,436,564
  6. Step 6: Final answer
    x = 7,683,748,102,809.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.