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Finding the Third Proportional to 763,989,282 and 1,636,890,732

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Solution

The third proportional to 763,989,282 and 1,636,890,732 is: 3,507,132,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,989,282 : 1,636,890,732 = 1,636,890,732 : x
  2. Step 2: Convert to fraction form
    763,989,282/1,636,890,732 = 1,636,890,732/x
  3. Step 3: Cross multiply
    763,989,282x = 1,636,890,732 × 1,636,890,732
  4. Step 4: Simplify right side
    763,989,282x = 2,679,411,268,507,495,936
  5. Step 5: Solve for x
    x = 2,679,411,268,507,495,936/763,989,282
  6. Step 6: Final answer
    x = 3,507,132,013.02

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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.