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Finding the Third Proportional to 1,596,828,918 and 3,494,683,490

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Solution

The third proportional to 1,596,828,918 and 3,494,683,490 is: 7,648,166,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828,918 : 3,494,683,490 = 3,494,683,490 : x
  2. Step 2: Convert to fraction form
    1,596,828,918/3,494,683,490 = 3,494,683,490/x
  3. Step 3: Cross multiply
    1,596,828,918x = 3,494,683,490 × 3,494,683,490
  4. Step 4: Simplify right side
    1,596,828,918x = 12,212,812,695,278,579,712
  5. Step 5: Solve for x
    x = 12,212,812,695,278,579,712/1,596,828,918
  6. Step 6: Final answer
    x = 7,648,166,035.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.