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Finding the Third Proportional to 438,407,018 and 963,594,196

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Solution

The third proportional to 438,407,018 and 963,594,196 is: 2,117,926,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,407,018 : 963,594,196 = 963,594,196 : x
  2. Step 2: Convert to fraction form
    438,407,018/963,594,196 = 963,594,196/x
  3. Step 3: Cross multiply
    438,407,018x = 963,594,196 × 963,594,196
  4. Step 4: Simplify right side
    438,407,018x = 928,513,774,564,886,400
  5. Step 5: Solve for x
    x = 928,513,774,564,886,400/438,407,018
  6. Step 6: Final answer
    x = 2,117,926,347.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.