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Finding the Third Proportional to 736,235,063 and 1,574,506,787.50

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Solution

The third proportional to 736,235,063 and 1,574,506,787.50 is: 3,367,228,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,235,063 : 1,574,506,787.50 = 1,574,506,787.50 : x
  2. Step 2: Convert to fraction form
    736,235,063/1,574,506,787.50 = 1,574,506,787.50/x
  3. Step 3: Cross multiply
    736,235,063x = 1,574,506,787.50 × 1,574,506,787.50
  4. Step 4: Simplify right side
    736,235,063x = 2,479,071,623,883,570,176
  5. Step 5: Solve for x
    x = 2,479,071,623,883,570,176/736,235,063
  6. Step 6: Final answer
    x = 3,367,228,414.50

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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.