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Finding the Third Proportional to 464,159,952 and 702,219,432

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Solution

The third proportional to 464,159,952 and 702,219,432 is: 1,062,375,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,159,952 : 702,219,432 = 702,219,432 : x
  2. Step 2: Convert to fraction form
    464,159,952/702,219,432 = 702,219,432/x
  3. Step 3: Cross multiply
    464,159,952x = 702,219,432 × 702,219,432
  4. Step 4: Simplify right side
    464,159,952x = 493,112,130,678,402,624
  5. Step 5: Solve for x
    x = 493,112,130,678,402,624/464,159,952
  6. Step 6: Final answer
    x = 1,062,375,434.49

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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.