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Finding the Third Proportional to 742,979,946 and 1,602,299,362

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Solution

The third proportional to 742,979,946 and 1,602,299,362 is: 3,455,494,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,979,946 : 1,602,299,362 = 1,602,299,362 : x
  2. Step 2: Convert to fraction form
    742,979,946/1,602,299,362 = 1,602,299,362/x
  3. Step 3: Cross multiply
    742,979,946x = 1,602,299,362 × 1,602,299,362
  4. Step 4: Simplify right side
    742,979,946x = 2,567,363,245,465,607,168
  5. Step 5: Solve for x
    x = 2,567,363,245,465,607,168/742,979,946
  6. Step 6: Final answer
    x = 3,455,494,672.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.