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Finding the Third Proportional to 1,212,316,632 and 1,773,125,316

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Solution

The third proportional to 1,212,316,632 and 1,773,125,316 is: 2,593,359,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,316,632 : 1,773,125,316 = 1,773,125,316 : x
  2. Step 2: Convert to fraction form
    1,212,316,632/1,773,125,316 = 1,773,125,316/x
  3. Step 3: Cross multiply
    1,212,316,632x = 1,773,125,316 × 1,773,125,316
  4. Step 4: Simplify right side
    1,212,316,632x = 3,143,973,386,240,099,840
  5. Step 5: Solve for x
    x = 3,143,973,386,240,099,840/1,212,316,632
  6. Step 6: Final answer
    x = 2,593,359,938.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.