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Finding the Third Proportional to 1,179,547,970 and 1,831,473,090

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Solution

The third proportional to 1,179,547,970 and 1,831,473,090 is: 2,843,711,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,547,970 : 1,831,473,090 = 1,831,473,090 : x
  2. Step 2: Convert to fraction form
    1,179,547,970/1,831,473,090 = 1,831,473,090/x
  3. Step 3: Cross multiply
    1,179,547,970x = 1,831,473,090 × 1,831,473,090
  4. Step 4: Simplify right side
    1,179,547,970x = 3,354,293,679,394,148,352
  5. Step 5: Solve for x
    x = 3,354,293,679,394,148,352/1,179,547,970
  6. Step 6: Final answer
    x = 2,843,711,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.