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Finding the Third Proportional to 1,923,688,629 and 4,201,553,106

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Solution

The third proportional to 1,923,688,629 and 4,201,553,106 is: 9,176,666,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,688,629 : 4,201,553,106 = 4,201,553,106 : x
  2. Step 2: Convert to fraction form
    1,923,688,629/4,201,553,106 = 4,201,553,106/x
  3. Step 3: Cross multiply
    1,923,688,629x = 4,201,553,106 × 4,201,553,106
  4. Step 4: Simplify right side
    1,923,688,629x = 17,653,048,502,538,248,192
  5. Step 5: Solve for x
    x = 17,653,048,502,538,248,192/1,923,688,629
  6. Step 6: Final answer
    x = 9,176,666,242.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.