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Finding the Third Proportional to 999,904,688 and 2,175,833,013

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Solution

The third proportional to 999,904,688 and 2,175,833,013 is: 4,734,700,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,904,688 : 2,175,833,013 = 2,175,833,013 : x
  2. Step 2: Convert to fraction form
    999,904,688/2,175,833,013 = 2,175,833,013/x
  3. Step 3: Cross multiply
    999,904,688x = 2,175,833,013 × 2,175,833,013
  4. Step 4: Simplify right side
    999,904,688x = 4,734,249,300,460,657,664
  5. Step 5: Solve for x
    x = 4,734,249,300,460,657,664/999,904,688
  6. Step 6: Final answer
    x = 4,734,700,574.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.