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Finding the Third Proportional to 870,860,299,893 and 1,210,861,636,689

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Solution

The third proportional to 870,860,299,893 and 1,210,861,636,689 is: 1,683,606,318,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,860,299,893 : 1,210,861,636,689 = 1,210,861,636,689 : x
  2. Step 2: Convert to fraction form
    870,860,299,893/1,210,861,636,689 = 1,210,861,636,689/x
  3. Step 3: Cross multiply
    870,860,299,893x = 1,210,861,636,689 × 1,210,861,636,689
  4. Step 4: Simplify right side
    870,860,299,893x = 1,466,185,903,205,163,881,988,096
  5. Step 5: Solve for x
    x = 1,466,185,903,205,163,881,988,096/870,860,299,893
  6. Step 6: Final answer
    x = 1,683,606,318,241.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.