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Finding the Third Proportional to 637,238,664 and 984,157,776

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Solution

The third proportional to 637,238,664 and 984,157,776 is: 1,519,943,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,238,664 : 984,157,776 = 984,157,776 : x
  2. Step 2: Convert to fraction form
    637,238,664/984,157,776 = 984,157,776/x
  3. Step 3: Cross multiply
    637,238,664x = 984,157,776 × 984,157,776
  4. Step 4: Simplify right side
    637,238,664x = 968,566,528,061,266,176
  5. Step 5: Solve for x
    x = 968,566,528,061,266,176/637,238,664
  6. Step 6: Final answer
    x = 1,519,943,127.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.