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Finding the Third Proportional to 318,547,258.45 and 750,904,454.11

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Solution

The third proportional to 318,547,258.45 and 750,904,454.11 is: 1,770,090,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,547,258.45 : 750,904,454.11 = 750,904,454.11 : x
  2. Step 2: Convert to fraction form
    318,547,258.45/750,904,454.11 = 750,904,454.11/x
  3. Step 3: Cross multiply
    318,547,258.45x = 750,904,454.11 × 750,904,454.11
  4. Step 4: Simplify right side
    318,547,258.45x = 563,857,499,201,305,984
  5. Step 5: Solve for x
    x = 563,857,499,201,305,984/318,547,258.45
  6. Step 6: Final answer
    x = 1,770,090,572.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.