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Finding the Third Proportional to 8,637,294,748,970 and 17,989,493,303,812

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Solution

The third proportional to 8,637,294,748,970 and 17,989,493,303,812 is: 37,467,966,386,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637,294,748,970 : 17,989,493,303,812 = 17,989,493,303,812 : x
  2. Step 2: Convert to fraction form
    8,637,294,748,970/17,989,493,303,812 = 17,989,493,303,812/x
  3. Step 3: Cross multiply
    8,637,294,748,970x = 17,989,493,303,812 × 17,989,493,303,812
  4. Step 4: Simplify right side
    8,637,294,748,970x = 323,621,869,327,896,811,231,248,384
  5. Step 5: Solve for x
    x = 323,621,869,327,896,811,231,248,384/8,637,294,748,970
  6. Step 6: Final answer
    x = 37,467,966,386,870.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.