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Finding the Third Proportional to 360,034,038 and 785,484,808

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Solution

The third proportional to 360,034,038 and 785,484,808 is: 1,713,689,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,034,038 : 785,484,808 = 785,484,808 : x
  2. Step 2: Convert to fraction form
    360,034,038/785,484,808 = 785,484,808/x
  3. Step 3: Cross multiply
    360,034,038x = 785,484,808 × 785,484,808
  4. Step 4: Simplify right side
    360,034,038x = 616,986,383,598,796,800
  5. Step 5: Solve for x
    x = 616,986,383,598,796,800/360,034,038
  6. Step 6: Final answer
    x = 1,713,689,036.25

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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.