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Finding the Third Proportional to 464,159,830.50 and 702,219,246.75

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Solution

The third proportional to 464,159,830.50 and 702,219,246.75 is: 1,062,375,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,159,830.50 : 702,219,246.75 = 702,219,246.75 : x
  2. Step 2: Convert to fraction form
    464,159,830.50/702,219,246.75 = 702,219,246.75/x
  3. Step 3: Cross multiply
    464,159,830.50x = 702,219,246.75 × 702,219,246.75
  4. Step 4: Simplify right side
    464,159,830.50x = 493,111,870,506,137,408
  5. Step 5: Solve for x
    x = 493,111,870,506,137,408/464,159,830.50
  6. Step 6: Final answer
    x = 1,062,375,152.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.