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Finding the Third Proportional to 710,672,859 and 1,533,712,737.66

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Solution

The third proportional to 710,672,859 and 1,533,712,737.66 is: 3,309,926,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,672,859 : 1,533,712,737.66 = 1,533,712,737.66 : x
  2. Step 2: Convert to fraction form
    710,672,859/1,533,712,737.66 = 1,533,712,737.66/x
  3. Step 3: Cross multiply
    710,672,859x = 1,533,712,737.66 × 1,533,712,737.66
  4. Step 4: Simplify right side
    710,672,859x = 2,352,274,761,648,875,520
  5. Step 5: Solve for x
    x = 2,352,274,761,648,875,520/710,672,859
  6. Step 6: Final answer
    x = 3,309,926,264.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.