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Finding the Third Proportional to 730,814,528 and 1,724,648,101

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Solution

The third proportional to 730,814,528 and 1,724,648,101 is: 4,069,994,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,814,528 : 1,724,648,101 = 1,724,648,101 : x
  2. Step 2: Convert to fraction form
    730,814,528/1,724,648,101 = 1,724,648,101/x
  3. Step 3: Cross multiply
    730,814,528x = 1,724,648,101 × 1,724,648,101
  4. Step 4: Simplify right side
    730,814,528x = 2,974,411,072,282,906,112
  5. Step 5: Solve for x
    x = 2,974,411,072,282,906,112/730,814,528
  6. Step 6: Final answer
    x = 4,069,994,449.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.