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Finding the Third Proportional to 736,235,064 and 1,574,506,790

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Solution

The third proportional to 736,235,064 and 1,574,506,790 is: 3,367,228,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,235,064 : 1,574,506,790 = 1,574,506,790 : x
  2. Step 2: Convert to fraction form
    736,235,064/1,574,506,790 = 1,574,506,790/x
  3. Step 3: Cross multiply
    736,235,064x = 1,574,506,790 × 1,574,506,790
  4. Step 4: Simplify right side
    736,235,064x = 2,479,071,631,756,104,192
  5. Step 5: Solve for x
    x = 2,479,071,631,756,104,192/736,235,064
  6. Step 6: Final answer
    x = 3,367,228,420.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.