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Finding the Third Proportional to 5,470,941,594 and 12,902,000,511

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Solution

The third proportional to 5,470,941,594 and 12,902,000,511 is: 30,426,502,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,941,594 : 12,902,000,511 = 12,902,000,511 : x
  2. Step 2: Convert to fraction form
    5,470,941,594/12,902,000,511 = 12,902,000,511/x
  3. Step 3: Cross multiply
    5,470,941,594x = 12,902,000,511 × 12,902,000,511
  4. Step 4: Simplify right side
    5,470,941,594x = 166,461,617,185,844,264,960
  5. Step 5: Solve for x
    x = 166,461,617,185,844,264,960/5,470,941,594
  6. Step 6: Final answer
    x = 30,426,502,335.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.