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Finding the Third Proportional to 306,261,899 and 470,746,684.50

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Solution

The third proportional to 306,261,899 and 470,746,684.50 is: 723,571,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,899 : 470,746,684.50 = 470,746,684.50 : x
  2. Step 2: Convert to fraction form
    306,261,899/470,746,684.50 = 470,746,684.50/x
  3. Step 3: Cross multiply
    306,261,899x = 470,746,684.50 × 470,746,684.50
  4. Step 4: Simplify right side
    306,261,899x = 221,602,440,967,742,528
  5. Step 5: Solve for x
    x = 221,602,440,967,742,528/306,261,899
  6. Step 6: Final answer
    x = 723,571,693.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.