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Finding the Third Proportional to 1,179,547,967.50 and 1,831,473,087

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Solution

The third proportional to 1,179,547,967.50 and 1,831,473,087 is: 2,843,711,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,547,967.50 : 1,831,473,087 = 1,831,473,087 : x
  2. Step 2: Convert to fraction form
    1,179,547,967.50/1,831,473,087 = 1,831,473,087/x
  3. Step 3: Cross multiply
    1,179,547,967.50x = 1,831,473,087 × 1,831,473,087
  4. Step 4: Simplify right side
    1,179,547,967.50x = 3,354,293,668,405,309,440
  5. Step 5: Solve for x
    x = 3,354,293,668,405,309,440/1,179,547,967.50
  6. Step 6: Final answer
    x = 2,843,711,117.16

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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.