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Finding the Third Proportional to 323,037,402 and 710,670,036

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Solution

The third proportional to 323,037,402 and 710,670,036 is: 1,563,447,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,037,402 : 710,670,036 = 710,670,036 : x
  2. Step 2: Convert to fraction form
    323,037,402/710,670,036 = 710,670,036/x
  3. Step 3: Cross multiply
    323,037,402x = 710,670,036 × 710,670,036
  4. Step 4: Simplify right side
    323,037,402x = 505,051,900,068,241,280
  5. Step 5: Solve for x
    x = 505,051,900,068,241,280/323,037,402
  6. Step 6: Final answer
    x = 1,563,447,133.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.