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Finding the Third Proportional to 742,068,468 and 1,545,176,412

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Solution

The third proportional to 742,068,468 and 1,545,176,412 is: 3,217,452,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,068,468 : 1,545,176,412 = 1,545,176,412 : x
  2. Step 2: Convert to fraction form
    742,068,468/1,545,176,412 = 1,545,176,412/x
  3. Step 3: Cross multiply
    742,068,468x = 1,545,176,412 × 1,545,176,412
  4. Step 4: Simplify right side
    742,068,468x = 2,387,570,144,201,193,984
  5. Step 5: Solve for x
    x = 2,387,570,144,201,193,984/742,068,468
  6. Step 6: Final answer
    x = 3,217,452,630.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.