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Finding the Third Proportional to 437,287,700 and 670,547,028

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Solution

The third proportional to 437,287,700 and 670,547,028 is: 1,028,232,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,287,700 : 670,547,028 = 670,547,028 : x
  2. Step 2: Convert to fraction form
    437,287,700/670,547,028 = 670,547,028/x
  3. Step 3: Cross multiply
    437,287,700x = 670,547,028 × 670,547,028
  4. Step 4: Simplify right side
    437,287,700x = 449,633,316,759,632,768
  5. Step 5: Solve for x
    x = 449,633,316,759,632,768/437,287,700
  6. Step 6: Final answer
    x = 1,028,232,252.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.